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Finding the Fourth Proportional to 24,531.86, 33,852.04 and 13,921.49

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Solution

The fourth proportional to 24,531.86, 33,852.04 and 13,921.49 is: 19,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,531.86 : 33,852.04 = 13,921.49 : x
  2. Step 2: Convert to fraction form
    24,531.86/33,852.04 = 13,921.49/x
  3. Step 3: Cross multiply
    24,531.86x = 33,852.04 × 13,921.49
  4. Step 4: Simplify right side
    24,531.86x = 471,270,964.47
  5. Step 5: Solve for x
    x = 471,270,964.47/24,531.86
  6. Step 6: Final answer
    x = 19,210.57

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