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Finding the Fourth Proportional to 15,829.68, 23,737.64 and 7,512.08

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Solution

The fourth proportional to 15,829.68, 23,737.64 and 7,512.08 is: 11,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,829.68 : 23,737.64 = 7,512.08 : x
  2. Step 2: Convert to fraction form
    15,829.68/23,737.64 = 7,512.08/x
  3. Step 3: Cross multiply
    15,829.68x = 23,737.64 × 7,512.08
  4. Step 4: Simplify right side
    15,829.68x = 178,319,050.69
  5. Step 5: Solve for x
    x = 178,319,050.69/15,829.68
  6. Step 6: Final answer
    x = 11,264.86

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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.