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Finding the Fourth Proportional to 17,768.63, 24,519.97 and 9,810.69

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Solution

The fourth proportional to 17,768.63, 24,519.97 and 9,810.69 is: 13,538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768.63 : 24,519.97 = 9,810.69 : x
  2. Step 2: Convert to fraction form
    17,768.63/24,519.97 = 9,810.69/x
  3. Step 3: Cross multiply
    17,768.63x = 24,519.97 × 9,810.69
  4. Step 4: Simplify right side
    17,768.63x = 240,557,689.61
  5. Step 5: Solve for x
    x = 240,557,689.61/17,768.63
  6. Step 6: Final answer
    x = 13,538.33

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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.