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Finding the Fourth Proportional to 16,824.96, 25,253.06 and 8,510.84

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Solution

The fourth proportional to 16,824.96, 25,253.06 and 8,510.84 is: 12,774.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824.96 : 25,253.06 = 8,510.84 : x
  2. Step 2: Convert to fraction form
    16,824.96/25,253.06 = 8,510.84/x
  3. Step 3: Cross multiply
    16,824.96x = 25,253.06 × 8,510.84
  4. Step 4: Simplify right side
    16,824.96x = 214,924,753.17
  5. Step 5: Solve for x
    x = 214,924,753.17/16,824.96
  6. Step 6: Final answer
    x = 12,774.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.