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Finding the Fourth Proportional to 25,709.40, 38,491.20 and 22,793.40

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Solution

The fourth proportional to 25,709.40, 38,491.20 and 22,793.40 is: 34,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,709.40 : 38,491.20 = 22,793.40 : x
  2. Step 2: Convert to fraction form
    25,709.40/38,491.20 = 22,793.40/x
  3. Step 3: Cross multiply
    25,709.40x = 38,491.20 × 22,793.40
  4. Step 4: Simplify right side
    25,709.40x = 877,345,318.08
  5. Step 5: Solve for x
    x = 877,345,318.08/25,709.40
  6. Step 6: Final answer
    x = 34,125.47

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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.