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Finding the Fourth Proportional to 24,342.14, 33,592.14 and 13,164.14

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Solution

The fourth proportional to 24,342.14, 33,592.14 and 13,164.14 is: 18,166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342.14 : 33,592.14 = 13,164.14 : x
  2. Step 2: Convert to fraction form
    24,342.14/33,592.14 = 13,164.14/x
  3. Step 3: Cross multiply
    24,342.14x = 33,592.14 × 13,164.14
  4. Step 4: Simplify right side
    24,342.14x = 442,211,633.86
  5. Step 5: Solve for x
    x = 442,211,633.86/24,342.14
  6. Step 6: Final answer
    x = 18,166.51

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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.