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Finding the Fourth Proportional to 25,898.96, 35,738.04 and 14,565.80

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Solution

The fourth proportional to 25,898.96, 35,738.04 and 14,565.80 is: 20,099.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,898.96 : 35,738.04 = 14,565.80 : x
  2. Step 2: Convert to fraction form
    25,898.96/35,738.04 = 14,565.80/x
  3. Step 3: Cross multiply
    25,898.96x = 35,738.04 × 14,565.80
  4. Step 4: Simplify right side
    25,898.96x = 520,553,143.03
  5. Step 5: Solve for x
    x = 520,553,143.03/25,898.96
  6. Step 6: Final answer
    x = 20,099.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.