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Finding the Fourth Proportional to 16,385.40, 24,578.10 and 13,663.80

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Solution

The fourth proportional to 16,385.40, 24,578.10 and 13,663.80 is: 20,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.40 : 24,578.10 = 13,663.80 : x
  2. Step 2: Convert to fraction form
    16,385.40/24,578.10 = 13,663.80/x
  3. Step 3: Cross multiply
    16,385.40x = 24,578.10 × 13,663.80
  4. Step 4: Simplify right side
    16,385.40x = 335,830,242.78
  5. Step 5: Solve for x
    x = 335,830,242.78/16,385.40
  6. Step 6: Final answer
    x = 20,495.70

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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.