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Finding the Fourth Proportional to 12,938.20, 17,878.92 and 11,023

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Solution

The fourth proportional to 12,938.20, 17,878.92 and 11,023 is: 15,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938.20 : 17,878.92 = 11,023 : x
  2. Step 2: Convert to fraction form
    12,938.20/17,878.92 = 11,023/x
  3. Step 3: Cross multiply
    12,938.20x = 17,878.92 × 11,023
  4. Step 4: Simplify right side
    12,938.20x = 197,079,335.16
  5. Step 5: Solve for x
    x = 197,079,335.16/12,938.20
  6. Step 6: Final answer
    x = 15,232.36

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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.