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Finding the Fourth Proportional to 25,576.76, 38,354.14 and 8,931.80

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Solution

The fourth proportional to 25,576.76, 38,354.14 and 8,931.80 is: 13,393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,576.76 : 38,354.14 = 8,931.80 : x
  2. Step 2: Convert to fraction form
    25,576.76/38,354.14 = 8,931.80/x
  3. Step 3: Cross multiply
    25,576.76x = 38,354.14 × 8,931.80
  4. Step 4: Simplify right side
    25,576.76x = 342,571,507.65
  5. Step 5: Solve for x
    x = 342,571,507.65/25,576.76
  6. Step 6: Final answer
    x = 13,393.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.