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Finding the Fourth Proportional to 22,432.64, 33,652.88 and 9,277.64

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Solution

The fourth proportional to 22,432.64, 33,652.88 and 9,277.64 is: 13,918.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.64 : 33,652.88 = 9,277.64 : x
  2. Step 2: Convert to fraction form
    22,432.64/33,652.88 = 9,277.64/x
  3. Step 3: Cross multiply
    22,432.64x = 33,652.88 × 9,277.64
  4. Step 4: Simplify right side
    22,432.64x = 312,219,305.60
  5. Step 5: Solve for x
    x = 312,219,305.60/22,432.64
  6. Step 6: Final answer
    x = 13,918.08

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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.