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Finding the Fourth Proportional to 25,856.71, 35,682.24 and 14,678.71

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Solution

The fourth proportional to 25,856.71, 35,682.24 and 14,678.71 is: 20,256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,856.71 : 35,682.24 = 14,678.71 : x
  2. Step 2: Convert to fraction form
    25,856.71/35,682.24 = 14,678.71/x
  3. Step 3: Cross multiply
    25,856.71x = 35,682.24 × 14,678.71
  4. Step 4: Simplify right side
    25,856.71x = 523,769,253.11
  5. Step 5: Solve for x
    x = 523,769,253.11/25,856.71
  6. Step 6: Final answer
    x = 20,256.61

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1.5x scale

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.