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Finding the Fourth Proportional to 24,527.70, 36,796.98 and 8,945.28

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Solution

The fourth proportional to 24,527.70, 36,796.98 and 8,945.28 is: 13,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,527.70 : 36,796.98 = 8,945.28 : x
  2. Step 2: Convert to fraction form
    24,527.70/36,796.98 = 8,945.28/x
  3. Step 3: Cross multiply
    24,527.70x = 36,796.98 × 8,945.28
  4. Step 4: Simplify right side
    24,527.70x = 329,159,289.25
  5. Step 5: Solve for x
    x = 329,159,289.25/24,527.70
  6. Step 6: Final answer
    x = 13,419.90

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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.