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Finding the Fourth Proportional to 17,678.57, 24,371.29 and 14,061.80

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Solution

The fourth proportional to 17,678.57, 24,371.29 and 14,061.80 is: 19,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.57 : 24,371.29 = 14,061.80 : x
  2. Step 2: Convert to fraction form
    17,678.57/24,371.29 = 14,061.80/x
  3. Step 3: Cross multiply
    17,678.57x = 24,371.29 × 14,061.80
  4. Step 4: Simplify right side
    17,678.57x = 342,704,284.23
  5. Step 5: Solve for x
    x = 342,704,284.23/17,678.57
  6. Step 6: Final answer
    x = 19,385.30

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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.