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Finding the Fourth Proportional to 23,196.38, 34,794.77 and 7,614

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Solution

The fourth proportional to 23,196.38, 34,794.77 and 7,614 is: 11,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,196.38 : 34,794.77 = 7,614 : x
  2. Step 2: Convert to fraction form
    23,196.38/34,794.77 = 7,614/x
  3. Step 3: Cross multiply
    23,196.38x = 34,794.77 × 7,614
  4. Step 4: Simplify right side
    23,196.38x = 264,927,340.71
  5. Step 5: Solve for x
    x = 264,927,340.71/23,196.38
  6. Step 6: Final answer
    x = 11,421.07

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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.