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Finding the Fourth Proportional to 24,271.71, 33,494.61 and 13,661.38

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Solution

The fourth proportional to 24,271.71, 33,494.61 and 13,661.38 is: 18,852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,271.71 : 33,494.61 = 13,661.38 : x
  2. Step 2: Convert to fraction form
    24,271.71/33,494.61 = 13,661.38/x
  3. Step 3: Cross multiply
    24,271.71x = 33,494.61 × 13,661.38
  4. Step 4: Simplify right side
    24,271.71x = 457,582,595.16
  5. Step 5: Solve for x
    x = 457,582,595.16/24,271.71
  6. Step 6: Final answer
    x = 18,852.51

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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.