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Finding the Fourth Proportional to 16,877.74, 23,283.80 and 10,909.92

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Solution

The fourth proportional to 16,877.74, 23,283.80 and 10,909.92 is: 15,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,877.74 : 23,283.80 = 10,909.92 : x
  2. Step 2: Convert to fraction form
    16,877.74/23,283.80 = 10,909.92/x
  3. Step 3: Cross multiply
    16,877.74x = 23,283.80 × 10,909.92
  4. Step 4: Simplify right side
    16,877.74x = 254,024,395.30
  5. Step 5: Solve for x
    x = 254,024,395.30/16,877.74
  6. Step 6: Final answer
    x = 15,050.85

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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.