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Finding the Fourth Proportional to 24,120, 36,164.48 and 10,076.27

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Solution

The fourth proportional to 24,120, 36,164.48 and 10,076.27 is: 15,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,120 : 36,164.48 = 10,076.27 : x
  2. Step 2: Convert to fraction form
    24,120/36,164.48 = 10,076.27/x
  3. Step 3: Cross multiply
    24,120x = 36,164.48 × 10,076.27
  4. Step 4: Simplify right side
    24,120x = 364,402,833.69
  5. Step 5: Solve for x
    x = 364,402,833.69/24,120
  6. Step 6: Final answer
    x = 15,107.91

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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.