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Finding the Fourth Proportional to 24,071.91, 33,222.33 and 13,462.14

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Solution

The fourth proportional to 24,071.91, 33,222.33 and 13,462.14 is: 18,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,071.91 : 33,222.33 = 13,462.14 : x
  2. Step 2: Convert to fraction form
    24,071.91/33,222.33 = 13,462.14/x
  3. Step 3: Cross multiply
    24,071.91x = 33,222.33 × 13,462.14
  4. Step 4: Simplify right side
    24,071.91x = 447,243,657.59
  5. Step 5: Solve for x
    x = 447,243,657.59/24,071.91
  6. Step 6: Final answer
    x = 18,579.48

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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.