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Finding the Fourth Proportional to 27,041.09, 40,565.48 and 8,322.68

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Solution

The fourth proportional to 27,041.09, 40,565.48 and 8,322.68 is: 12,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,041.09 : 40,565.48 = 8,322.68 : x
  2. Step 2: Convert to fraction form
    27,041.09/40,565.48 = 8,322.68/x
  3. Step 3: Cross multiply
    27,041.09x = 40,565.48 × 8,322.68
  4. Step 4: Simplify right side
    27,041.09x = 337,613,264.65
  5. Step 5: Solve for x
    x = 337,613,264.65/27,041.09
  6. Step 6: Final answer
    x = 12,485.20

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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.