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Finding the Fourth Proportional to 19,532.64, 29,285.04 and 9,138.72

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Solution

The fourth proportional to 19,532.64, 29,285.04 and 9,138.72 is: 13,701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,532.64 : 29,285.04 = 9,138.72 : x
  2. Step 2: Convert to fraction form
    19,532.64/29,285.04 = 9,138.72/x
  3. Step 3: Cross multiply
    19,532.64x = 29,285.04 × 9,138.72
  4. Step 4: Simplify right side
    19,532.64x = 267,627,780.75
  5. Step 5: Solve for x
    x = 267,627,780.75/19,532.64
  6. Step 6: Final answer
    x = 13,701.57

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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.