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Finding the Fourth Proportional to 15,281.30, 22,932.12 and 6,282.80

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Solution

The fourth proportional to 15,281.30, 22,932.12 and 6,282.80 is: 9,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,281.30 : 22,932.12 = 6,282.80 : x
  2. Step 2: Convert to fraction form
    15,281.30/22,932.12 = 6,282.80/x
  3. Step 3: Cross multiply
    15,281.30x = 22,932.12 × 6,282.80
  4. Step 4: Simplify right side
    15,281.30x = 144,077,808.88
  5. Step 5: Solve for x
    x = 144,077,808.88/15,281.30
  6. Step 6: Final answer
    x = 9,428.38

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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.