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Finding the Fourth Proportional to 16,476.16, 22,737.12 and 9,024

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Solution

The fourth proportional to 16,476.16, 22,737.12 and 9,024 is: 12,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476.16 : 22,737.12 = 9,024 : x
  2. Step 2: Convert to fraction form
    16,476.16/22,737.12 = 9,024/x
  3. Step 3: Cross multiply
    16,476.16x = 22,737.12 × 9,024
  4. Step 4: Simplify right side
    16,476.16x = 205,179,770.88
  5. Step 5: Solve for x
    x = 205,179,770.88/16,476.16
  6. Step 6: Final answer
    x = 12,453.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.