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Finding the Fourth Proportional to 25,894.08, 35,734.08 and 14,716.16

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Solution

The fourth proportional to 25,894.08, 35,734.08 and 14,716.16 is: 20,308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,894.08 : 35,734.08 = 14,716.16 : x
  2. Step 2: Convert to fraction form
    25,894.08/35,734.08 = 14,716.16/x
  3. Step 3: Cross multiply
    25,894.08x = 35,734.08 × 14,716.16
  4. Step 4: Simplify right side
    25,894.08x = 525,868,438.73
  5. Step 5: Solve for x
    x = 525,868,438.73/25,894.08
  6. Step 6: Final answer
    x = 20,308.44

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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.