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Finding the Fourth Proportional to 12,602.25, 18,924.98 and 11,945.61

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Solution

The fourth proportional to 12,602.25, 18,924.98 and 11,945.61 is: 17,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.25 : 18,924.98 = 11,945.61 : x
  2. Step 2: Convert to fraction form
    12,602.25/18,924.98 = 11,945.61/x
  3. Step 3: Cross multiply
    12,602.25x = 18,924.98 × 11,945.61
  4. Step 4: Simplify right side
    12,602.25x = 226,070,370.61
  5. Step 5: Solve for x
    x = 226,070,370.61/12,602.25
  6. Step 6: Final answer
    x = 17,938.89

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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.