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Finding the Fourth Proportional to 17,768.17, 24,520.08 and 9,810.46

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Solution

The fourth proportional to 17,768.17, 24,520.08 and 9,810.46 is: 13,538.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768.17 : 24,520.08 = 9,810.46 : x
  2. Step 2: Convert to fraction form
    17,768.17/24,520.08 = 9,810.46/x
  3. Step 3: Cross multiply
    17,768.17x = 24,520.08 × 9,810.46
  4. Step 4: Simplify right side
    17,768.17x = 240,553,331.48
  5. Step 5: Solve for x
    x = 240,553,331.48/17,768.17
  6. Step 6: Final answer
    x = 13,538.44

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