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Finding the Fourth Proportional to 14,932.32, 22,380 and 7,538.88

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Solution

The fourth proportional to 14,932.32, 22,380 and 7,538.88 is: 11,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,932.32 : 22,380 = 7,538.88 : x
  2. Step 2: Convert to fraction form
    14,932.32/22,380 = 7,538.88/x
  3. Step 3: Cross multiply
    14,932.32x = 22,380 × 7,538.88
  4. Step 4: Simplify right side
    14,932.32x = 168,720,134.40
  5. Step 5: Solve for x
    x = 168,720,134.40/14,932.32
  6. Step 6: Final answer
    x = 11,298.99

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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.