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Finding the Fourth Proportional to 15,769.26, 23,627.12 and 9,516.14

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Solution

The fourth proportional to 15,769.26, 23,627.12 and 9,516.14 is: 14,258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769.26 : 23,627.12 = 9,516.14 : x
  2. Step 2: Convert to fraction form
    15,769.26/23,627.12 = 9,516.14/x
  3. Step 3: Cross multiply
    15,769.26x = 23,627.12 × 9,516.14
  4. Step 4: Simplify right side
    15,769.26x = 224,838,981.72
  5. Step 5: Solve for x
    x = 224,838,981.72/15,769.26
  6. Step 6: Final answer
    x = 14,258.06

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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.