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Finding the Fourth Proportional to 25,772.16, 38,658.60 and 7,304.16

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Solution

The fourth proportional to 25,772.16, 38,658.60 and 7,304.16 is: 10,956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,772.16 : 38,658.60 = 7,304.16 : x
  2. Step 2: Convert to fraction form
    25,772.16/38,658.60 = 7,304.16/x
  3. Step 3: Cross multiply
    25,772.16x = 38,658.60 × 7,304.16
  4. Step 4: Simplify right side
    25,772.16x = 282,368,599.78
  5. Step 5: Solve for x
    x = 282,368,599.78/25,772.16
  6. Step 6: Final answer
    x = 10,956.34

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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.