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Finding the Fourth Proportional to 16,525.76, 22,805.74 and 8,972.16

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Solution

The fourth proportional to 16,525.76, 22,805.74 and 8,972.16 is: 12,381.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,525.76 : 22,805.74 = 8,972.16 : x
  2. Step 2: Convert to fraction form
    16,525.76/22,805.74 = 8,972.16/x
  3. Step 3: Cross multiply
    16,525.76x = 22,805.74 × 8,972.16
  4. Step 4: Simplify right side
    16,525.76x = 204,616,748.20
  5. Step 5: Solve for x
    x = 204,616,748.20/16,525.76
  6. Step 6: Final answer
    x = 12,381.68

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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.