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Finding the Fourth Proportional to 16,645.97, 22,971.50 and 9,092.39

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Solution

The fourth proportional to 16,645.97, 22,971.50 and 9,092.39 is: 12,547.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,645.97 : 22,971.50 = 9,092.39 : x
  2. Step 2: Convert to fraction form
    16,645.97/22,971.50 = 9,092.39/x
  3. Step 3: Cross multiply
    16,645.97x = 22,971.50 × 9,092.39
  4. Step 4: Simplify right side
    16,645.97x = 208,865,676.57
  5. Step 5: Solve for x
    x = 208,865,676.57/16,645.97
  6. Step 6: Final answer
    x = 12,547.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.