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Finding the Fourth Proportional to 22,432.09, 33,652.16 and 9,285.49

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Solution

The fourth proportional to 22,432.09, 33,652.16 and 9,285.49 is: 13,929.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.09 : 33,652.16 = 9,285.49 : x
  2. Step 2: Convert to fraction form
    22,432.09/33,652.16 = 9,285.49/x
  3. Step 3: Cross multiply
    22,432.09x = 33,652.16 × 9,285.49
  4. Step 4: Simplify right side
    22,432.09x = 312,476,636.32
  5. Step 5: Solve for x
    x = 312,476,636.32/22,432.09
  6. Step 6: Final answer
    x = 13,929.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.