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Finding the Fourth Proportional to 25,842.16, 38,755.86 and 7,117.48

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Solution

The fourth proportional to 25,842.16, 38,755.86 and 7,117.48 is: 10,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.16 : 38,755.86 = 7,117.48 : x
  2. Step 2: Convert to fraction form
    25,842.16/38,755.86 = 7,117.48/x
  3. Step 3: Cross multiply
    25,842.16x = 38,755.86 × 7,117.48
  4. Step 4: Simplify right side
    25,842.16x = 275,844,058.43
  5. Step 5: Solve for x
    x = 275,844,058.43/25,842.16
  6. Step 6: Final answer
    x = 10,674.19

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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.