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Finding the Fourth Proportional to 28,254.24, 38,988.90 and 15,678

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Solution

The fourth proportional to 28,254.24, 38,988.90 and 15,678 is: 21,634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,254.24 : 38,988.90 = 15,678 : x
  2. Step 2: Convert to fraction form
    28,254.24/38,988.90 = 15,678/x
  3. Step 3: Cross multiply
    28,254.24x = 38,988.90 × 15,678
  4. Step 4: Simplify right side
    28,254.24x = 611,267,974.20
  5. Step 5: Solve for x
    x = 611,267,974.20/28,254.24
  6. Step 6: Final answer
    x = 21,634.56

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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.