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Finding the Fourth Proportional to 14,774.28, 22,109.40 and 9,230.24

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Solution

The fourth proportional to 14,774.28, 22,109.40 and 9,230.24 is: 13,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,774.28 : 22,109.40 = 9,230.24 : x
  2. Step 2: Convert to fraction form
    14,774.28/22,109.40 = 9,230.24/x
  3. Step 3: Cross multiply
    14,774.28x = 22,109.40 × 9,230.24
  4. Step 4: Simplify right side
    14,774.28x = 204,074,957.71
  5. Step 5: Solve for x
    x = 204,074,957.71/14,774.28
  6. Step 6: Final answer
    x = 13,812.85

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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.