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Finding the Fourth Proportional to 24,270, 33,491.79 and 13,659

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Solution

The fourth proportional to 24,270, 33,491.79 and 13,659 is: 18,848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,270 : 33,491.79 = 13,659 : x
  2. Step 2: Convert to fraction form
    24,270/33,491.79 = 13,659/x
  3. Step 3: Cross multiply
    24,270x = 33,491.79 × 13,659
  4. Step 4: Simplify right side
    24,270x = 457,464,359.61
  5. Step 5: Solve for x
    x = 457,464,359.61/24,270
  6. Step 6: Final answer
    x = 18,848.96

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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.