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Finding the Fourth Proportional to 20,007.52, 27,610.40 and 11,624

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Solution

The fourth proportional to 20,007.52, 27,610.40 and 11,624 is: 16,041.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,007.52 : 27,610.40 = 11,624 : x
  2. Step 2: Convert to fraction form
    20,007.52/27,610.40 = 11,624/x
  3. Step 3: Cross multiply
    20,007.52x = 27,610.40 × 11,624
  4. Step 4: Simplify right side
    20,007.52x = 320,943,289.60
  5. Step 5: Solve for x
    x = 320,943,289.60/20,007.52
  6. Step 6: Final answer
    x = 16,041.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.