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Finding the Fourth Proportional to 25,854.46, 35,679.13 and 14,676.46

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Solution

The fourth proportional to 25,854.46, 35,679.13 and 14,676.46 is: 20,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854.46 : 35,679.13 = 14,676.46 : x
  2. Step 2: Convert to fraction form
    25,854.46/35,679.13 = 14,676.46/x
  3. Step 3: Cross multiply
    25,854.46x = 35,679.13 × 14,676.46
  4. Step 4: Simplify right side
    25,854.46x = 523,643,324.28
  5. Step 5: Solve for x
    x = 523,643,324.28/25,854.46
  6. Step 6: Final answer
    x = 20,253.50

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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.