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Finding the Fourth Proportional to 15,137.17, 22,705.88 and 5,276.43

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Solution

The fourth proportional to 15,137.17, 22,705.88 and 5,276.43 is: 7,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.17 : 22,705.88 = 5,276.43 : x
  2. Step 2: Convert to fraction form
    15,137.17/22,705.88 = 5,276.43/x
  3. Step 3: Cross multiply
    15,137.17x = 22,705.88 × 5,276.43
  4. Step 4: Simplify right side
    15,137.17x = 119,805,846.50
  5. Step 5: Solve for x
    x = 119,805,846.50/15,137.17
  6. Step 6: Final answer
    x = 7,914.68

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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.