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Finding the Fourth Proportional to 20,031.58, 30,041.97 and 7,543.63

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Solution

The fourth proportional to 20,031.58, 30,041.97 and 7,543.63 is: 11,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.58 : 30,041.97 = 7,543.63 : x
  2. Step 2: Convert to fraction form
    20,031.58/30,041.97 = 7,543.63/x
  3. Step 3: Cross multiply
    20,031.58x = 30,041.97 × 7,543.63
  4. Step 4: Simplify right side
    20,031.58x = 226,625,506.15
  5. Step 5: Solve for x
    x = 226,625,506.15/20,031.58
  6. Step 6: Final answer
    x = 11,313.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.