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Finding the Fourth Proportional to 17,114.12, 25,642.02 and 13,828.76

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Solution

The fourth proportional to 17,114.12, 25,642.02 and 13,828.76 is: 20,719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114.12 : 25,642.02 = 13,828.76 : x
  2. Step 2: Convert to fraction form
    17,114.12/25,642.02 = 13,828.76/x
  3. Step 3: Cross multiply
    17,114.12x = 25,642.02 × 13,828.76
  4. Step 4: Simplify right side
    17,114.12x = 354,597,340.50
  5. Step 5: Solve for x
    x = 354,597,340.50/17,114.12
  6. Step 6: Final answer
    x = 20,719.58

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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.