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Finding the Fourth Proportional to 23,376.66, 32,259.34 and 12,766.38

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Solution

The fourth proportional to 23,376.66, 32,259.34 and 12,766.38 is: 17,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,376.66 : 32,259.34 = 12,766.38 : x
  2. Step 2: Convert to fraction form
    23,376.66/32,259.34 = 12,766.38/x
  3. Step 3: Cross multiply
    23,376.66x = 32,259.34 × 12,766.38
  4. Step 4: Simplify right side
    23,376.66x = 411,834,992.99
  5. Step 5: Solve for x
    x = 411,834,992.99/23,376.66
  6. Step 6: Final answer
    x = 17,617.36

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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.