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Finding the Fourth Proportional to 27,427.61, 41,142.82 and 7,707.70

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Solution

The fourth proportional to 27,427.61, 41,142.82 and 7,707.70 is: 11,561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,427.61 : 41,142.82 = 7,707.70 : x
  2. Step 2: Convert to fraction form
    27,427.61/41,142.82 = 7,707.70/x
  3. Step 3: Cross multiply
    27,427.61x = 41,142.82 × 7,707.70
  4. Step 4: Simplify right side
    27,427.61x = 317,116,513.71
  5. Step 5: Solve for x
    x = 317,116,513.71/27,427.61
  6. Step 6: Final answer
    x = 11,561.94

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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.