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Finding the Fourth Proportional to 16,139.76, 24,255 and 9,566.88

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Solution

The fourth proportional to 16,139.76, 24,255 and 9,566.88 is: 14,377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,139.76 : 24,255 = 9,566.88 : x
  2. Step 2: Convert to fraction form
    16,139.76/24,255 = 9,566.88/x
  3. Step 3: Cross multiply
    16,139.76x = 24,255 × 9,566.88
  4. Step 4: Simplify right side
    16,139.76x = 232,044,674.40
  5. Step 5: Solve for x
    x = 232,044,674.40/16,139.76
  6. Step 6: Final answer
    x = 14,377.21

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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.