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Finding the Fourth Proportional to 25,732.51, 38,593.35 and 7,260.19

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Solution

The fourth proportional to 25,732.51, 38,593.35 and 7,260.19 is: 10,888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,732.51 : 38,593.35 = 7,260.19 : x
  2. Step 2: Convert to fraction form
    25,732.51/38,593.35 = 7,260.19/x
  3. Step 3: Cross multiply
    25,732.51x = 38,593.35 × 7,260.19
  4. Step 4: Simplify right side
    25,732.51x = 280,194,957.25
  5. Step 5: Solve for x
    x = 280,194,957.25/25,732.51
  6. Step 6: Final answer
    x = 10,888.75

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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.