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Finding the Fourth Proportional to 15,956, 22,020.72 and 9,332

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Solution

The fourth proportional to 15,956, 22,020.72 and 9,332 is: 12,879.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,956 : 22,020.72 = 9,332 : x
  2. Step 2: Convert to fraction form
    15,956/22,020.72 = 9,332/x
  3. Step 3: Cross multiply
    15,956x = 22,020.72 × 9,332
  4. Step 4: Simplify right side
    15,956x = 205,497,359.04
  5. Step 5: Solve for x
    x = 205,497,359.04/15,956
  6. Step 6: Final answer
    x = 12,879.00

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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.