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Finding the Fourth Proportional to 14,822.84, 20,456.17 and 8,537.24

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Solution

The fourth proportional to 14,822.84, 20,456.17 and 8,537.24 is: 11,781.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.84 : 20,456.17 = 8,537.24 : x
  2. Step 2: Convert to fraction form
    14,822.84/20,456.17 = 8,537.24/x
  3. Step 3: Cross multiply
    14,822.84x = 20,456.17 × 8,537.24
  4. Step 4: Simplify right side
    14,822.84x = 174,639,232.77
  5. Step 5: Solve for x
    x = 174,639,232.77/14,822.84
  6. Step 6: Final answer
    x = 11,781.77

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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.