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Finding the Fourth Proportional to 18,138.32, 25,031.84 and 10,180.16

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Solution

The fourth proportional to 18,138.32, 25,031.84 and 10,180.16 is: 14,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,138.32 : 25,031.84 = 10,180.16 : x
  2. Step 2: Convert to fraction form
    18,138.32/25,031.84 = 10,180.16/x
  3. Step 3: Cross multiply
    18,138.32x = 25,031.84 × 10,180.16
  4. Step 4: Simplify right side
    18,138.32x = 254,828,136.29
  5. Step 5: Solve for x
    x = 254,828,136.29/18,138.32
  6. Step 6: Final answer
    x = 14,049.16

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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.