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Finding the Fourth Proportional to 24,141.84, 33,317.10 and 13,534.92

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Solution

The fourth proportional to 24,141.84, 33,317.10 and 13,534.92 is: 18,678.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,141.84 : 33,317.10 = 13,534.92 : x
  2. Step 2: Convert to fraction form
    24,141.84/33,317.10 = 13,534.92/x
  3. Step 3: Cross multiply
    24,141.84x = 33,317.10 × 13,534.92
  4. Step 4: Simplify right side
    24,141.84x = 450,944,283.13
  5. Step 5: Solve for x
    x = 450,944,283.13/24,141.84
  6. Step 6: Final answer
    x = 18,678.95

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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.