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Finding the Fourth Proportional to 18,071.38, 24,953.89 and 11,368.22

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Solution

The fourth proportional to 18,071.38, 24,953.89 and 11,368.22 is: 15,697.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,071.38 : 24,953.89 = 11,368.22 : x
  2. Step 2: Convert to fraction form
    18,071.38/24,953.89 = 11,368.22/x
  3. Step 3: Cross multiply
    18,071.38x = 24,953.89 × 11,368.22
  4. Step 4: Simplify right side
    18,071.38x = 283,681,282.96
  5. Step 5: Solve for x
    x = 283,681,282.96/18,071.38
  6. Step 6: Final answer
    x = 15,697.83

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Why These Related Problems?

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