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Finding the Fourth Proportional to 22,985.31, 31,733.03 and 15,041.40

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Solution

The fourth proportional to 22,985.31, 31,733.03 and 15,041.40 is: 20,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,985.31 : 31,733.03 = 15,041.40 : x
  2. Step 2: Convert to fraction form
    22,985.31/31,733.03 = 15,041.40/x
  3. Step 3: Cross multiply
    22,985.31x = 31,733.03 × 15,041.40
  4. Step 4: Simplify right side
    22,985.31x = 477,309,197.44
  5. Step 5: Solve for x
    x = 477,309,197.44/22,985.31
  6. Step 6: Final answer
    x = 20,765.84

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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.