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Finding the Fourth Proportional to 27,077.80, 40,617.90 and 9,547.78

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Solution

The fourth proportional to 27,077.80, 40,617.90 and 9,547.78 is: 14,322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,077.80 : 40,617.90 = 9,547.78 : x
  2. Step 2: Convert to fraction form
    27,077.80/40,617.90 = 9,547.78/x
  3. Step 3: Cross multiply
    27,077.80x = 40,617.90 × 9,547.78
  4. Step 4: Simplify right side
    27,077.80x = 387,810,773.26
  5. Step 5: Solve for x
    x = 387,810,773.26/27,077.80
  6. Step 6: Final answer
    x = 14,322.09

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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.