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Finding the Fourth Proportional to 25,736.67, 38,605.01 and 9,087.66

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Solution

The fourth proportional to 25,736.67, 38,605.01 and 9,087.66 is: 13,631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,736.67 : 38,605.01 = 9,087.66 : x
  2. Step 2: Convert to fraction form
    25,736.67/38,605.01 = 9,087.66/x
  3. Step 3: Cross multiply
    25,736.67x = 38,605.01 × 9,087.66
  4. Step 4: Simplify right side
    25,736.67x = 350,829,159.74
  5. Step 5: Solve for x
    x = 350,829,159.74/25,736.67
  6. Step 6: Final answer
    x = 13,631.49

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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.