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Finding the Fourth Proportional to 25,886.64, 35,723.40 and 14,708.64

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Solution

The fourth proportional to 25,886.64, 35,723.40 and 14,708.64 is: 20,297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,886.64 : 35,723.40 = 14,708.64 : x
  2. Step 2: Convert to fraction form
    25,886.64/35,723.40 = 14,708.64/x
  3. Step 3: Cross multiply
    25,886.64x = 35,723.40 × 14,708.64
  4. Step 4: Simplify right side
    25,886.64x = 525,442,630.18
  5. Step 5: Solve for x
    x = 525,442,630.18/25,886.64
  6. Step 6: Final answer
    x = 20,297.83

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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.