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Finding the Fourth Proportional to 25,732.57, 38,602.54 and 7,964.79

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Solution

The fourth proportional to 25,732.57, 38,602.54 and 7,964.79 is: 11,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,732.57 : 38,602.54 = 7,964.79 : x
  2. Step 2: Convert to fraction form
    25,732.57/38,602.54 = 7,964.79/x
  3. Step 3: Cross multiply
    25,732.57x = 38,602.54 × 7,964.79
  4. Step 4: Simplify right side
    25,732.57x = 307,460,928.53
  5. Step 5: Solve for x
    x = 307,460,928.53/25,732.57
  6. Step 6: Final answer
    x = 11,948.32

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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.