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Finding the Fourth Proportional to 20,041.38, 30,069.02 and 7,565.00

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Solution

The fourth proportional to 20,041.38, 30,069.02 and 7,565.00 is: 11,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,041.38 : 30,069.02 = 7,565.00 : x
  2. Step 2: Convert to fraction form
    20,041.38/30,069.02 = 7,565.00/x
  3. Step 3: Cross multiply
    20,041.38x = 30,069.02 × 7,565.00
  4. Step 4: Simplify right side
    20,041.38x = 227,472,004.87
  5. Step 5: Solve for x
    x = 227,472,004.87/20,041.38
  6. Step 6: Final answer
    x = 11,350.12

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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.