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Finding the Fourth Proportional to 18,232.16, 25,160 and 10,275.20

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Solution

The fourth proportional to 18,232.16, 25,160 and 10,275.20 is: 14,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,232.16 : 25,160 = 10,275.20 : x
  2. Step 2: Convert to fraction form
    18,232.16/25,160 = 10,275.20/x
  3. Step 3: Cross multiply
    18,232.16x = 25,160 × 10,275.20
  4. Step 4: Simplify right side
    18,232.16x = 258,524,032.00
  5. Step 5: Solve for x
    x = 258,524,032.00/18,232.16
  6. Step 6: Final answer
    x = 14,179.56

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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.