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Finding the Fourth Proportional to 15,137.70, 22,706.55 and 4,046.10

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Solution

The fourth proportional to 15,137.70, 22,706.55 and 4,046.10 is: 6,069.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.70 : 22,706.55 = 4,046.10 : x
  2. Step 2: Convert to fraction form
    15,137.70/22,706.55 = 4,046.10/x
  3. Step 3: Cross multiply
    15,137.70x = 22,706.55 × 4,046.10
  4. Step 4: Simplify right side
    15,137.70x = 91,872,971.96
  5. Step 5: Solve for x
    x = 91,872,971.96/15,137.70
  6. Step 6: Final answer
    x = 6,069.15

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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.