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Finding the Fourth Proportional to 24,009.60, 36,027.36 and 10,871.40

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Solution

The fourth proportional to 24,009.60, 36,027.36 and 10,871.40 is: 16,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,009.60 : 36,027.36 = 10,871.40 : x
  2. Step 2: Convert to fraction form
    24,009.60/36,027.36 = 10,871.40/x
  3. Step 3: Cross multiply
    24,009.60x = 36,027.36 × 10,871.40
  4. Step 4: Simplify right side
    24,009.60x = 391,667,841.50
  5. Step 5: Solve for x
    x = 391,667,841.50/24,009.60
  6. Step 6: Final answer
    x = 16,312.97

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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.