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Finding the Fourth Proportional to 16,294.80, 24,304.68 and 15,802.80

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Solution

The fourth proportional to 16,294.80, 24,304.68 and 15,802.80 is: 23,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.80 : 24,304.68 = 15,802.80 : x
  2. Step 2: Convert to fraction form
    16,294.80/24,304.68 = 15,802.80/x
  3. Step 3: Cross multiply
    16,294.80x = 24,304.68 × 15,802.80
  4. Step 4: Simplify right side
    16,294.80x = 384,081,997.10
  5. Step 5: Solve for x
    x = 384,081,997.10/16,294.80
  6. Step 6: Final answer
    x = 23,570.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.