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Finding the Fourth Proportional to 24,592.88, 36,882.60 and 7,058

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Solution

The fourth proportional to 24,592.88, 36,882.60 and 7,058 is: 10,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,592.88 : 36,882.60 = 7,058 : x
  2. Step 2: Convert to fraction form
    24,592.88/36,882.60 = 7,058/x
  3. Step 3: Cross multiply
    24,592.88x = 36,882.60 × 7,058
  4. Step 4: Simplify right side
    24,592.88x = 260,317,390.80
  5. Step 5: Solve for x
    x = 260,317,390.80/24,592.88
  6. Step 6: Final answer
    x = 10,585.07

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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.