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Finding the Fourth Proportional to 25,878.96, 35,716.80 and 15,813.20

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Solution

The fourth proportional to 25,878.96, 35,716.80 and 15,813.20 is: 21,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878.96 : 35,716.80 = 15,813.20 : x
  2. Step 2: Convert to fraction form
    25,878.96/35,716.80 = 15,813.20/x
  3. Step 3: Cross multiply
    25,878.96x = 35,716.80 × 15,813.20
  4. Step 4: Simplify right side
    25,878.96x = 564,796,901.76
  5. Step 5: Solve for x
    x = 564,796,901.76/25,878.96
  6. Step 6: Final answer
    x = 21,824.56

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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.