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Finding the Fourth Proportional to 25,984.86, 38,806.64 and 25,712.70

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Solution

The fourth proportional to 25,984.86, 38,806.64 and 25,712.70 is: 38,400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,984.86 : 38,806.64 = 25,712.70 : x
  2. Step 2: Convert to fraction form
    25,984.86/38,806.64 = 25,712.70/x
  3. Step 3: Cross multiply
    25,984.86x = 38,806.64 × 25,712.70
  4. Step 4: Simplify right side
    25,984.86x = 997,823,363.76
  5. Step 5: Solve for x
    x = 997,823,363.76/25,984.86
  6. Step 6: Final answer
    x = 38,400.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.