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Finding the Fourth Proportional to 27,720.61, 41,597.31 and 10,202.74

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Solution

The fourth proportional to 27,720.61, 41,597.31 and 10,202.74 is: 15,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720.61 : 41,597.31 = 10,202.74 : x
  2. Step 2: Convert to fraction form
    27,720.61/41,597.31 = 10,202.74/x
  3. Step 3: Cross multiply
    27,720.61x = 41,597.31 × 10,202.74
  4. Step 4: Simplify right side
    27,720.61x = 424,406,538.63
  5. Step 5: Solve for x
    x = 424,406,538.63/27,720.61
  6. Step 6: Final answer
    x = 15,310.14

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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.