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Finding the Fourth Proportional to 20,098.69, 30,149.48 and 5,307.46

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Solution

The fourth proportional to 20,098.69, 30,149.48 and 5,307.46 is: 7,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.69 : 30,149.48 = 5,307.46 : x
  2. Step 2: Convert to fraction form
    20,098.69/30,149.48 = 5,307.46/x
  3. Step 3: Cross multiply
    20,098.69x = 30,149.48 × 5,307.46
  4. Step 4: Simplify right side
    20,098.69x = 160,017,159.12
  5. Step 5: Solve for x
    x = 160,017,159.12/20,098.69
  6. Step 6: Final answer
    x = 7,961.57

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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.