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Finding the Fourth Proportional to 20,128.71, 30,184.61 and 7,641.85

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Solution

The fourth proportional to 20,128.71, 30,184.61 and 7,641.85 is: 11,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,128.71 : 30,184.61 = 7,641.85 : x
  2. Step 2: Convert to fraction form
    20,128.71/30,184.61 = 7,641.85/x
  3. Step 3: Cross multiply
    20,128.71x = 30,184.61 × 7,641.85
  4. Step 4: Simplify right side
    20,128.71x = 230,666,261.93
  5. Step 5: Solve for x
    x = 230,666,261.93/20,128.71
  6. Step 6: Final answer
    x = 11,459.57

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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.