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Finding the Fourth Proportional to 22,288.32, 33,432.48 and 9,140.64

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Solution

The fourth proportional to 22,288.32, 33,432.48 and 9,140.64 is: 13,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,288.32 : 33,432.48 = 9,140.64 : x
  2. Step 2: Convert to fraction form
    22,288.32/33,432.48 = 9,140.64/x
  3. Step 3: Cross multiply
    22,288.32x = 33,432.48 × 9,140.64
  4. Step 4: Simplify right side
    22,288.32x = 305,594,263.99
  5. Step 5: Solve for x
    x = 305,594,263.99/22,288.32
  6. Step 6: Final answer
    x = 13,710.96

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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.