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Finding the Fourth Proportional to 22,410, 30,925.92 and 12,474

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Solution

The fourth proportional to 22,410, 30,925.92 and 12,474 is: 17,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,410 : 30,925.92 = 12,474 : x
  2. Step 2: Convert to fraction form
    22,410/30,925.92 = 12,474/x
  3. Step 3: Cross multiply
    22,410x = 30,925.92 × 12,474
  4. Step 4: Simplify right side
    22,410x = 385,769,926.08
  5. Step 5: Solve for x
    x = 385,769,926.08/22,410
  6. Step 6: Final answer
    x = 17,214.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.