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Finding the Fourth Proportional to 15,817.25, 23,711.19 and 7,501.16

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Solution

The fourth proportional to 15,817.25, 23,711.19 and 7,501.16 is: 11,244.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.25 : 23,711.19 = 7,501.16 : x
  2. Step 2: Convert to fraction form
    15,817.25/23,711.19 = 7,501.16/x
  3. Step 3: Cross multiply
    15,817.25x = 23,711.19 × 7,501.16
  4. Step 4: Simplify right side
    15,817.25x = 177,861,311.42
  5. Step 5: Solve for x
    x = 177,861,311.42/15,817.25
  6. Step 6: Final answer
    x = 11,244.77

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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.