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Finding the Fourth Proportional to 16,537.31, 22,821.11 and 8,983.48

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Solution

The fourth proportional to 16,537.31, 22,821.11 and 8,983.48 is: 12,397.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.31 : 22,821.11 = 8,983.48 : x
  2. Step 2: Convert to fraction form
    16,537.31/22,821.11 = 8,983.48/x
  3. Step 3: Cross multiply
    16,537.31x = 22,821.11 × 8,983.48
  4. Step 4: Simplify right side
    16,537.31x = 205,012,985.26
  5. Step 5: Solve for x
    x = 205,012,985.26/16,537.31
  6. Step 6: Final answer
    x = 12,397.00

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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.