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Finding the Fourth Proportional to 22,580.16, 33,864.72 and 9,432.60

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Solution

The fourth proportional to 22,580.16, 33,864.72 and 9,432.60 is: 14,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.16 : 33,864.72 = 9,432.60 : x
  2. Step 2: Convert to fraction form
    22,580.16/33,864.72 = 9,432.60/x
  3. Step 3: Cross multiply
    22,580.16x = 33,864.72 × 9,432.60
  4. Step 4: Simplify right side
    22,580.16x = 319,432,357.87
  5. Step 5: Solve for x
    x = 319,432,357.87/22,580.16
  6. Step 6: Final answer
    x = 14,146.59

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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.