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Finding the Fourth Proportional to 25,901.64, 35,744.10 and 14,723.64

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Solution

The fourth proportional to 25,901.64, 35,744.10 and 14,723.64 is: 20,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,901.64 : 35,744.10 = 14,723.64 : x
  2. Step 2: Convert to fraction form
    25,901.64/35,744.10 = 14,723.64/x
  3. Step 3: Cross multiply
    25,901.64x = 35,744.10 × 14,723.64
  4. Step 4: Simplify right side
    25,901.64x = 526,283,260.52
  5. Step 5: Solve for x
    x = 526,283,260.52/25,901.64
  6. Step 6: Final answer
    x = 20,318.53

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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.