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Finding the Fourth Proportional to 24,606, 33,956.31 and 13,428

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Solution

The fourth proportional to 24,606, 33,956.31 and 13,428 is: 18,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,606 : 33,956.31 = 13,428 : x
  2. Step 2: Convert to fraction form
    24,606/33,956.31 = 13,428/x
  3. Step 3: Cross multiply
    24,606x = 33,956.31 × 13,428
  4. Step 4: Simplify right side
    24,606x = 455,965,330.68
  5. Step 5: Solve for x
    x = 455,965,330.68/24,606
  6. Step 6: Final answer
    x = 18,530.66

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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.