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Finding the Fourth Proportional to 27,182.25, 40,773.65 and 9,652.77

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Solution

The fourth proportional to 27,182.25, 40,773.65 and 9,652.77 is: 14,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182.25 : 40,773.65 = 9,652.77 : x
  2. Step 2: Convert to fraction form
    27,182.25/40,773.65 = 9,652.77/x
  3. Step 3: Cross multiply
    27,182.25x = 40,773.65 × 9,652.77
  4. Step 4: Simplify right side
    27,182.25x = 393,578,617.25
  5. Step 5: Solve for x
    x = 393,578,617.25/27,182.25
  6. Step 6: Final answer
    x = 14,479.25

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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.