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Finding the Fourth Proportional to 20,684.52, 31,029.66 and 7,543.08

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Solution

The fourth proportional to 20,684.52, 31,029.66 and 7,543.08 is: 11,315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684.52 : 31,029.66 = 7,543.08 : x
  2. Step 2: Convert to fraction form
    20,684.52/31,029.66 = 7,543.08/x
  3. Step 3: Cross multiply
    20,684.52x = 31,029.66 × 7,543.08
  4. Step 4: Simplify right side
    20,684.52x = 234,059,207.75
  5. Step 5: Solve for x
    x = 234,059,207.75/20,684.52
  6. Step 6: Final answer
    x = 11,315.67

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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.