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Finding the Fourth Proportional to 14,318.24, 19,759.52 and 8,032.16

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Solution

The fourth proportional to 14,318.24, 19,759.52 and 8,032.16 is: 11,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,318.24 : 19,759.52 = 8,032.16 : x
  2. Step 2: Convert to fraction form
    14,318.24/19,759.52 = 8,032.16/x
  3. Step 3: Cross multiply
    14,318.24x = 19,759.52 × 8,032.16
  4. Step 4: Simplify right side
    14,318.24x = 158,711,626.16
  5. Step 5: Solve for x
    x = 158,711,626.16/14,318.24
  6. Step 6: Final answer
    x = 11,084.58

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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.