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Finding the Fourth Proportional to 25,887.25, 35,724.41 and 14,709.25

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Solution

The fourth proportional to 25,887.25, 35,724.41 and 14,709.25 is: 20,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,887.25 : 35,724.41 = 14,709.25 : x
  2. Step 2: Convert to fraction form
    25,887.25/35,724.41 = 14,709.25/x
  3. Step 3: Cross multiply
    25,887.25x = 35,724.41 × 14,709.25
  4. Step 4: Simplify right side
    25,887.25x = 525,479,277.79
  5. Step 5: Solve for x
    x = 525,479,277.79/25,887.25
  6. Step 6: Final answer
    x = 20,298.77

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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.