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Finding the Fourth Proportional to 24,872.24, 37,314.88 and 9,290

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Solution

The fourth proportional to 24,872.24, 37,314.88 and 9,290 is: 13,937.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872.24 : 37,314.88 = 9,290 : x
  2. Step 2: Convert to fraction form
    24,872.24/37,314.88 = 9,290/x
  3. Step 3: Cross multiply
    24,872.24x = 37,314.88 × 9,290
  4. Step 4: Simplify right side
    24,872.24x = 346,655,235.20
  5. Step 5: Solve for x
    x = 346,655,235.20/24,872.24
  6. Step 6: Final answer
    x = 13,937.44

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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.