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Finding the Fourth Proportional to 16,578, 22,877.64 and 9,126

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Solution

The fourth proportional to 16,578, 22,877.64 and 9,126 is: 12,593.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578 : 22,877.64 = 9,126 : x
  2. Step 2: Convert to fraction form
    16,578/22,877.64 = 9,126/x
  3. Step 3: Cross multiply
    16,578x = 22,877.64 × 9,126
  4. Step 4: Simplify right side
    16,578x = 208,781,342.64
  5. Step 5: Solve for x
    x = 208,781,342.64/16,578
  6. Step 6: Final answer
    x = 12,593.88

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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.