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Finding the Fourth Proportional to 24,410, 36,593.28 and 8,824.16

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Solution

The fourth proportional to 24,410, 36,593.28 and 8,824.16 is: 13,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,410 : 36,593.28 = 8,824.16 : x
  2. Step 2: Convert to fraction form
    24,410/36,593.28 = 8,824.16/x
  3. Step 3: Cross multiply
    24,410x = 36,593.28 × 8,824.16
  4. Step 4: Simplify right side
    24,410x = 322,904,957.64
  5. Step 5: Solve for x
    x = 322,904,957.64/24,410
  6. Step 6: Final answer
    x = 13,228.39

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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.