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Finding the Fourth Proportional to 15,343.68, 23,059.28 and 7,557.92

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Solution

The fourth proportional to 15,343.68, 23,059.28 and 7,557.92 is: 11,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,343.68 : 23,059.28 = 7,557.92 : x
  2. Step 2: Convert to fraction form
    15,343.68/23,059.28 = 7,557.92/x
  3. Step 3: Cross multiply
    15,343.68x = 23,059.28 × 7,557.92
  4. Step 4: Simplify right side
    15,343.68x = 174,280,193.50
  5. Step 5: Solve for x
    x = 174,280,193.50/15,343.68
  6. Step 6: Final answer
    x = 11,358.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.