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Finding the Fourth Proportional to 15,915.20, 23,865.60 and 7,145.60

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Solution

The fourth proportional to 15,915.20, 23,865.60 and 7,145.60 is: 10,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,915.20 : 23,865.60 = 7,145.60 : x
  2. Step 2: Convert to fraction form
    15,915.20/23,865.60 = 7,145.60/x
  3. Step 3: Cross multiply
    15,915.20x = 23,865.60 × 7,145.60
  4. Step 4: Simplify right side
    15,915.20x = 170,534,031.36
  5. Step 5: Solve for x
    x = 170,534,031.36/15,915.20
  6. Step 6: Final answer
    x = 10,715.17

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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.