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Finding the Fourth Proportional to 27,427.74, 41,147.76 and 8,707.68

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Solution

The fourth proportional to 27,427.74, 41,147.76 and 8,707.68 is: 13,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,427.74 : 41,147.76 = 8,707.68 : x
  2. Step 2: Convert to fraction form
    27,427.74/41,147.76 = 8,707.68/x
  3. Step 3: Cross multiply
    27,427.74x = 41,147.76 × 8,707.68
  4. Step 4: Simplify right side
    27,427.74x = 358,301,526.80
  5. Step 5: Solve for x
    x = 358,301,526.80/27,427.74
  6. Step 6: Final answer
    x = 13,063.47

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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.