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Finding the Fourth Proportional to 16,476.47, 24,689.76 and 10,909.88

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Solution

The fourth proportional to 16,476.47, 24,689.76 and 10,909.88 is: 16,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476.47 : 24,689.76 = 10,909.88 : x
  2. Step 2: Convert to fraction form
    16,476.47/24,689.76 = 10,909.88/x
  3. Step 3: Cross multiply
    16,476.47x = 24,689.76 × 10,909.88
  4. Step 4: Simplify right side
    16,476.47x = 269,362,318.83
  5. Step 5: Solve for x
    x = 269,362,318.83/16,476.47
  6. Step 6: Final answer
    x = 16,348.30

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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.