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Finding the Fourth Proportional to 25,915.80, 38,864.10 and 8,386.20

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Solution

The fourth proportional to 25,915.80, 38,864.10 and 8,386.20 is: 12,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,915.80 : 38,864.10 = 8,386.20 : x
  2. Step 2: Convert to fraction form
    25,915.80/38,864.10 = 8,386.20/x
  3. Step 3: Cross multiply
    25,915.80x = 38,864.10 × 8,386.20
  4. Step 4: Simplify right side
    25,915.80x = 325,922,115.42
  5. Step 5: Solve for x
    x = 325,922,115.42/25,915.80
  6. Step 6: Final answer
    x = 12,576.19

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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.