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Finding the Fourth Proportional to 13,988.30, 20,982.51 and 5,223.11

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Solution

The fourth proportional to 13,988.30, 20,982.51 and 5,223.11 is: 7,834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,988.30 : 20,982.51 = 5,223.11 : x
  2. Step 2: Convert to fraction form
    13,988.30/20,982.51 = 5,223.11/x
  3. Step 3: Cross multiply
    13,988.30x = 20,982.51 × 5,223.11
  4. Step 4: Simplify right side
    13,988.30x = 109,593,852.89
  5. Step 5: Solve for x
    x = 109,593,852.89/13,988.30
  6. Step 6: Final answer
    x = 7,834.68

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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.