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Finding the Fourth Proportional to 14,982.40, 20,654.40 and 10,259.20

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Solution

The fourth proportional to 14,982.40, 20,654.40 and 10,259.20 is: 14,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982.40 : 20,654.40 = 10,259.20 : x
  2. Step 2: Convert to fraction form
    14,982.40/20,654.40 = 10,259.20/x
  3. Step 3: Cross multiply
    14,982.40x = 20,654.40 × 10,259.20
  4. Step 4: Simplify right side
    14,982.40x = 211,897,620.48
  5. Step 5: Solve for x
    x = 211,897,620.48/14,982.40
  6. Step 6: Final answer
    x = 14,143.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.