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Finding the Fourth Proportional to 22,432.32, 33,642.88 and 9,288.32

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Solution

The fourth proportional to 22,432.32, 33,642.88 and 9,288.32 is: 13,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.32 : 33,642.88 = 9,288.32 : x
  2. Step 2: Convert to fraction form
    22,432.32/33,642.88 = 9,288.32/x
  3. Step 3: Cross multiply
    22,432.32x = 33,642.88 × 9,288.32
  4. Step 4: Simplify right side
    22,432.32x = 312,485,835.16
  5. Step 5: Solve for x
    x = 312,485,835.16/22,432.32
  6. Step 6: Final answer
    x = 13,930.16

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1.5x scale

Why These Related Problems?

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