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Finding the Fourth Proportional to 13,648.84, 20,465.97 and 4,287.13

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Solution

The fourth proportional to 13,648.84, 20,465.97 and 4,287.13 is: 6,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.84 : 20,465.97 = 4,287.13 : x
  2. Step 2: Convert to fraction form
    13,648.84/20,465.97 = 4,287.13/x
  3. Step 3: Cross multiply
    13,648.84x = 20,465.97 × 4,287.13
  4. Step 4: Simplify right side
    13,648.84x = 87,740,273.97
  5. Step 5: Solve for x
    x = 87,740,273.97/13,648.84
  6. Step 6: Final answer
    x = 6,428.41

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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.