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Finding the Fourth Proportional to 27,101.61, 40,652.76 and 9,559.14

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Solution

The fourth proportional to 27,101.61, 40,652.76 and 9,559.14 is: 14,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,101.61 : 40,652.76 = 9,559.14 : x
  2. Step 2: Convert to fraction form
    27,101.61/40,652.76 = 9,559.14/x
  3. Step 3: Cross multiply
    27,101.61x = 40,652.76 × 9,559.14
  4. Step 4: Simplify right side
    27,101.61x = 388,605,424.23
  5. Step 5: Solve for x
    x = 388,605,424.23/27,101.61
  6. Step 6: Final answer
    x = 14,338.83

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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.