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Finding the Fourth Proportional to 27,013.72, 40,538.36 and 9,483.08

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Solution

The fourth proportional to 27,013.72, 40,538.36 and 9,483.08 is: 14,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,013.72 : 40,538.36 = 9,483.08 : x
  2. Step 2: Convert to fraction form
    27,013.72/40,538.36 = 9,483.08/x
  3. Step 3: Cross multiply
    27,013.72x = 40,538.36 × 9,483.08
  4. Step 4: Simplify right side
    27,013.72x = 384,428,510.95
  5. Step 5: Solve for x
    x = 384,428,510.95/27,013.72
  6. Step 6: Final answer
    x = 14,230.86

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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.