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Finding the Fourth Proportional to 24,532.61, 33,854.00 and 13,922.01

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Solution

The fourth proportional to 24,532.61, 33,854.00 and 13,922.01 is: 19,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532.61 : 33,854.00 = 13,922.01 : x
  2. Step 2: Convert to fraction form
    24,532.61/33,854.00 = 13,922.01/x
  3. Step 3: Cross multiply
    24,532.61x = 33,854.00 × 13,922.01
  4. Step 4: Simplify right side
    24,532.61x = 471,315,656.93
  5. Step 5: Solve for x
    x = 471,315,656.93/24,532.61
  6. Step 6: Final answer
    x = 19,211.81

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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.