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Finding the Fourth Proportional to 16,530.90, 22,812.56 and 8,977.16

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Solution

The fourth proportional to 16,530.90, 22,812.56 and 8,977.16 is: 12,388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530.90 : 22,812.56 = 8,977.16 : x
  2. Step 2: Convert to fraction form
    16,530.90/22,812.56 = 8,977.16/x
  3. Step 3: Cross multiply
    16,530.90x = 22,812.56 × 8,977.16
  4. Step 4: Simplify right side
    16,530.90x = 204,791,842.18
  5. Step 5: Solve for x
    x = 204,791,842.18/16,530.90
  6. Step 6: Final answer
    x = 12,388.43

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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.