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Finding the Fourth Proportional to 13,868.84, 20,802.60 and 5,103.12

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Solution

The fourth proportional to 13,868.84, 20,802.60 and 5,103.12 is: 7,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868.84 : 20,802.60 = 5,103.12 : x
  2. Step 2: Convert to fraction form
    13,868.84/20,802.60 = 5,103.12/x
  3. Step 3: Cross multiply
    13,868.84x = 20,802.60 × 5,103.12
  4. Step 4: Simplify right side
    13,868.84x = 106,158,164.11
  5. Step 5: Solve for x
    x = 106,158,164.11/13,868.84
  6. Step 6: Final answer
    x = 7,654.44

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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.