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Finding the Fourth Proportional to 25,574.42, 38,367.09 and 8,045.61

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Solution

The fourth proportional to 25,574.42, 38,367.09 and 8,045.61 is: 12,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574.42 : 38,367.09 = 8,045.61 : x
  2. Step 2: Convert to fraction form
    25,574.42/38,367.09 = 8,045.61/x
  3. Step 3: Cross multiply
    25,574.42x = 38,367.09 × 8,045.61
  4. Step 4: Simplify right side
    25,574.42x = 308,686,642.97
  5. Step 5: Solve for x
    x = 308,686,642.97/25,574.42
  6. Step 6: Final answer
    x = 12,070.14

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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.