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Finding the Fourth Proportional to 18,422, 25,422.36 and 10,038.50

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Solution

The fourth proportional to 18,422, 25,422.36 and 10,038.50 is: 13,853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,422 : 25,422.36 = 10,038.50 : x
  2. Step 2: Convert to fraction form
    18,422/25,422.36 = 10,038.50/x
  3. Step 3: Cross multiply
    18,422x = 25,422.36 × 10,038.50
  4. Step 4: Simplify right side
    18,422x = 255,202,360.86
  5. Step 5: Solve for x
    x = 255,202,360.86/18,422
  6. Step 6: Final answer
    x = 13,853.13

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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.