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Finding the Fourth Proportional to 16,403.70, 24,605.55 and 13,123.20

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Solution

The fourth proportional to 16,403.70, 24,605.55 and 13,123.20 is: 19,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,403.70 : 24,605.55 = 13,123.20 : x
  2. Step 2: Convert to fraction form
    16,403.70/24,605.55 = 13,123.20/x
  3. Step 3: Cross multiply
    16,403.70x = 24,605.55 × 13,123.20
  4. Step 4: Simplify right side
    16,403.70x = 322,903,553.76
  5. Step 5: Solve for x
    x = 322,903,553.76/16,403.70
  6. Step 6: Final answer
    x = 19,684.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.