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Finding the Fourth Proportional to 16,525.77, 22,805.73 and 8,972.17

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Solution

The fourth proportional to 16,525.77, 22,805.73 and 8,972.17 is: 12,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,525.77 : 22,805.73 = 8,972.17 : x
  2. Step 2: Convert to fraction form
    16,525.77/22,805.73 = 8,972.17/x
  3. Step 3: Cross multiply
    16,525.77x = 22,805.73 × 8,972.17
  4. Step 4: Simplify right side
    16,525.77x = 204,616,886.53
  5. Step 5: Solve for x
    x = 204,616,886.53/16,525.77
  6. Step 6: Final answer
    x = 12,381.69

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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.