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Finding the Fourth Proportional to 16,456.72, 22,710.72 and 9,384.88

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Solution

The fourth proportional to 16,456.72, 22,710.72 and 9,384.88 is: 12,951.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.72 : 22,710.72 = 9,384.88 : x
  2. Step 2: Convert to fraction form
    16,456.72/22,710.72 = 9,384.88/x
  3. Step 3: Cross multiply
    16,456.72x = 22,710.72 × 9,384.88
  4. Step 4: Simplify right side
    16,456.72x = 213,137,381.91
  5. Step 5: Solve for x
    x = 213,137,381.91/16,456.72
  6. Step 6: Final answer
    x = 12,951.39

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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.