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Finding the Fourth Proportional to 17,768.49, 24,520.49 and 9,810.76

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Solution

The fourth proportional to 17,768.49, 24,520.49 and 9,810.76 is: 13,538.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768.49 : 24,520.49 = 9,810.76 : x
  2. Step 2: Convert to fraction form
    17,768.49/24,520.49 = 9,810.76/x
  3. Step 3: Cross multiply
    17,768.49x = 24,520.49 × 9,810.76
  4. Step 4: Simplify right side
    17,768.49x = 240,564,642.47
  5. Step 5: Solve for x
    x = 240,564,642.47/17,768.49
  6. Step 6: Final answer
    x = 13,538.83

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.