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Finding the Fourth Proportional to 24,507.40, 36,738.87 and 8,914

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Solution

The fourth proportional to 24,507.40, 36,738.87 and 8,914 is: 13,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.40 : 36,738.87 = 8,914 : x
  2. Step 2: Convert to fraction form
    24,507.40/36,738.87 = 8,914/x
  3. Step 3: Cross multiply
    24,507.40x = 36,738.87 × 8,914
  4. Step 4: Simplify right side
    24,507.40x = 327,490,287.18
  5. Step 5: Solve for x
    x = 327,490,287.18/24,507.40
  6. Step 6: Final answer
    x = 13,362.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.