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Finding the Fourth Proportional to 23,289.68, 34,926.32 and 7,494.08

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Solution

The fourth proportional to 23,289.68, 34,926.32 and 7,494.08 is: 11,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,289.68 : 34,926.32 = 7,494.08 : x
  2. Step 2: Convert to fraction form
    23,289.68/34,926.32 = 7,494.08/x
  3. Step 3: Cross multiply
    23,289.68x = 34,926.32 × 7,494.08
  4. Step 4: Simplify right side
    23,289.68x = 261,740,480.29
  5. Step 5: Solve for x
    x = 261,740,480.29/23,289.68
  6. Step 6: Final answer
    x = 11,238.47

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Why These Related Problems?

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