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Finding the Fourth Proportional to 23,213.69, 34,826.42 and 10,742.69

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Solution

The fourth proportional to 23,213.69, 34,826.42 and 10,742.69 is: 16,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213.69 : 34,826.42 = 10,742.69 : x
  2. Step 2: Convert to fraction form
    23,213.69/34,826.42 = 10,742.69/x
  3. Step 3: Cross multiply
    23,213.69x = 34,826.42 × 10,742.69
  4. Step 4: Simplify right side
    23,213.69x = 374,129,547.79
  5. Step 5: Solve for x
    x = 374,129,547.79/23,213.69
  6. Step 6: Final answer
    x = 16,116.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.