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Finding the Fourth Proportional to 15,952.29, 22,009.20 and 9,052.32

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Solution

The fourth proportional to 15,952.29, 22,009.20 and 9,052.32 is: 12,489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,952.29 : 22,009.20 = 9,052.32 : x
  2. Step 2: Convert to fraction form
    15,952.29/22,009.20 = 9,052.32/x
  3. Step 3: Cross multiply
    15,952.29x = 22,009.20 × 9,052.32
  4. Step 4: Simplify right side
    15,952.29x = 199,234,321.34
  5. Step 5: Solve for x
    x = 199,234,321.34/15,952.29
  6. Step 6: Final answer
    x = 12,489.39

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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.