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Finding the Fourth Proportional to 16,966.80, 23,408.88 and 9,795.78

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Solution

The fourth proportional to 16,966.80, 23,408.88 and 9,795.78 is: 13,515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966.80 : 23,408.88 = 9,795.78 : x
  2. Step 2: Convert to fraction form
    16,966.80/23,408.88 = 9,795.78/x
  3. Step 3: Cross multiply
    16,966.80x = 23,408.88 × 9,795.78
  4. Step 4: Simplify right side
    16,966.80x = 229,308,238.53
  5. Step 5: Solve for x
    x = 229,308,238.53/16,966.80
  6. Step 6: Final answer
    x = 13,515.11

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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.