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Finding the Fourth Proportional to 13,180.38, 19,753.02 and 4,852.71

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Solution

The fourth proportional to 13,180.38, 19,753.02 and 4,852.71 is: 7,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180.38 : 19,753.02 = 4,852.71 : x
  2. Step 2: Convert to fraction form
    13,180.38/19,753.02 = 4,852.71/x
  3. Step 3: Cross multiply
    13,180.38x = 19,753.02 × 4,852.71
  4. Step 4: Simplify right side
    13,180.38x = 95,855,677.68
  5. Step 5: Solve for x
    x = 95,855,677.68/13,180.38
  6. Step 6: Final answer
    x = 7,272.60

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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.