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Finding the Fourth Proportional to 18,214.80, 25,138.80 and 10,258.56

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Solution

The fourth proportional to 18,214.80, 25,138.80 and 10,258.56 is: 14,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.80 : 25,138.80 = 10,258.56 : x
  2. Step 2: Convert to fraction form
    18,214.80/25,138.80 = 10,258.56/x
  3. Step 3: Cross multiply
    18,214.80x = 25,138.80 × 10,258.56
  4. Step 4: Simplify right side
    18,214.80x = 257,887,888.13
  5. Step 5: Solve for x
    x = 257,887,888.13/18,214.80
  6. Step 6: Final answer
    x = 14,158.15

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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.