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Finding the Fourth Proportional to 14,439.32, 19,929.42 and 9,141.20

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Solution

The fourth proportional to 14,439.32, 19,929.42 and 9,141.20 is: 12,616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,439.32 : 19,929.42 = 9,141.20 : x
  2. Step 2: Convert to fraction form
    14,439.32/19,929.42 = 9,141.20/x
  3. Step 3: Cross multiply
    14,439.32x = 19,929.42 × 9,141.20
  4. Step 4: Simplify right side
    14,439.32x = 182,178,814.10
  5. Step 5: Solve for x
    x = 182,178,814.10/14,439.32
  6. Step 6: Final answer
    x = 12,616.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.