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Finding the Fourth Proportional to 16,002.40, 24,003.60 and 11,871.40

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Solution

The fourth proportional to 16,002.40, 24,003.60 and 11,871.40 is: 17,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.40 : 24,003.60 = 11,871.40 : x
  2. Step 2: Convert to fraction form
    16,002.40/24,003.60 = 11,871.40/x
  3. Step 3: Cross multiply
    16,002.40x = 24,003.60 × 11,871.40
  4. Step 4: Simplify right side
    16,002.40x = 284,956,337.04
  5. Step 5: Solve for x
    x = 284,956,337.04/16,002.40
  6. Step 6: Final answer
    x = 17,807.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.