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Finding the Fourth Proportional to 24,146.84, 33,320.82 and 13,536.20

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Solution

The fourth proportional to 24,146.84, 33,320.82 and 13,536.20 is: 18,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,146.84 : 33,320.82 = 13,536.20 : x
  2. Step 2: Convert to fraction form
    24,146.84/33,320.82 = 13,536.20/x
  3. Step 3: Cross multiply
    24,146.84x = 33,320.82 × 13,536.20
  4. Step 4: Simplify right side
    24,146.84x = 451,037,283.68
  5. Step 5: Solve for x
    x = 451,037,283.68/24,146.84
  6. Step 6: Final answer
    x = 18,678.94

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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.