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Finding the Fourth Proportional to 15,059, 22,588.58 and 4,115

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Solution

The fourth proportional to 15,059, 22,588.58 and 4,115 is: 6,172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,059 : 22,588.58 = 4,115 : x
  2. Step 2: Convert to fraction form
    15,059/22,588.58 = 4,115/x
  3. Step 3: Cross multiply
    15,059x = 22,588.58 × 4,115
  4. Step 4: Simplify right side
    15,059x = 92,952,006.70
  5. Step 5: Solve for x
    x = 92,952,006.70/15,059
  6. Step 6: Final answer
    x = 6,172.52

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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.