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Finding the Fourth Proportional to 25,969.60, 38,961.60 and 12,822.40

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Solution

The fourth proportional to 25,969.60, 38,961.60 and 12,822.40 is: 19,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,969.60 : 38,961.60 = 12,822.40 : x
  2. Step 2: Convert to fraction form
    25,969.60/38,961.60 = 12,822.40/x
  3. Step 3: Cross multiply
    25,969.60x = 38,961.60 × 12,822.40
  4. Step 4: Simplify right side
    25,969.60x = 499,581,219.84
  5. Step 5: Solve for x
    x = 499,581,219.84/25,969.60
  6. Step 6: Final answer
    x = 19,237.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.