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Finding the Fourth Proportional to 15,137.50, 22,706.35 and 5,276.97

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Solution

The fourth proportional to 15,137.50, 22,706.35 and 5,276.97 is: 7,915.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.50 : 22,706.35 = 5,276.97 : x
  2. Step 2: Convert to fraction form
    15,137.50/22,706.35 = 5,276.97/x
  3. Step 3: Cross multiply
    15,137.50x = 22,706.35 × 5,276.97
  4. Step 4: Simplify right side
    15,137.50x = 119,820,727.76
  5. Step 5: Solve for x
    x = 119,820,727.76/15,137.50
  6. Step 6: Final answer
    x = 7,915.49

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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.