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Finding the Fourth Proportional to 25,755.56, 38,636.40 and 9,112.16

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Solution

The fourth proportional to 25,755.56, 38,636.40 and 9,112.16 is: 13,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,755.56 : 38,636.40 = 9,112.16 : x
  2. Step 2: Convert to fraction form
    25,755.56/38,636.40 = 9,112.16/x
  3. Step 3: Cross multiply
    25,755.56x = 38,636.40 × 9,112.16
  4. Step 4: Simplify right side
    25,755.56x = 352,061,058.62
  5. Step 5: Solve for x
    x = 352,061,058.62/25,755.56
  6. Step 6: Final answer
    x = 13,669.32

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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.