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Finding the Fourth Proportional to 24,014.64, 36,017.84 and 10,864

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Solution

The fourth proportional to 24,014.64, 36,017.84 and 10,864 is: 16,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,014.64 : 36,017.84 = 10,864 : x
  2. Step 2: Convert to fraction form
    24,014.64/36,017.84 = 10,864/x
  3. Step 3: Cross multiply
    24,014.64x = 36,017.84 × 10,864
  4. Step 4: Simplify right side
    24,014.64x = 391,297,813.76
  5. Step 5: Solve for x
    x = 391,297,813.76/24,014.64
  6. Step 6: Final answer
    x = 16,294.14

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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.