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Finding the Fourth Proportional to 16,002.40, 23,971.20 and 13,086.40

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Solution

The fourth proportional to 16,002.40, 23,971.20 and 13,086.40 is: 19,603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.40 : 23,971.20 = 13,086.40 : x
  2. Step 2: Convert to fraction form
    16,002.40/23,971.20 = 13,086.40/x
  3. Step 3: Cross multiply
    16,002.40x = 23,971.20 × 13,086.40
  4. Step 4: Simplify right side
    16,002.40x = 313,696,711.68
  5. Step 5: Solve for x
    x = 313,696,711.68/16,002.40
  6. Step 6: Final answer
    x = 19,603.10

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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.