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Finding the Fourth Proportional to 25,785.88, 35,584.51 and 14,607.88

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Solution

The fourth proportional to 25,785.88, 35,584.51 and 14,607.88 is: 20,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,785.88 : 35,584.51 = 14,607.88 : x
  2. Step 2: Convert to fraction form
    25,785.88/35,584.51 = 14,607.88/x
  3. Step 3: Cross multiply
    25,785.88x = 35,584.51 × 14,607.88
  4. Step 4: Simplify right side
    25,785.88x = 519,814,037.50
  5. Step 5: Solve for x
    x = 519,814,037.50/25,785.88
  6. Step 6: Final answer
    x = 20,158.87

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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.