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Finding the Fourth Proportional to 25,887.38, 35,724.60 and 14,709.38

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Solution

The fourth proportional to 25,887.38, 35,724.60 and 14,709.38 is: 20,298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,887.38 : 35,724.60 = 14,709.38 : x
  2. Step 2: Convert to fraction form
    25,887.38/35,724.60 = 14,709.38/x
  3. Step 3: Cross multiply
    25,887.38x = 35,724.60 × 14,709.38
  4. Step 4: Simplify right side
    25,887.38x = 525,486,538.13
  5. Step 5: Solve for x
    x = 525,486,538.13/25,887.38
  6. Step 6: Final answer
    x = 20,298.95

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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.