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Finding the Fourth Proportional to 16,770.65, 23,142.12 and 9,216.59

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Solution

The fourth proportional to 16,770.65, 23,142.12 and 9,216.59 is: 12,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,770.65 : 23,142.12 = 9,216.59 : x
  2. Step 2: Convert to fraction form
    16,770.65/23,142.12 = 9,216.59/x
  3. Step 3: Cross multiply
    16,770.65x = 23,142.12 × 9,216.59
  4. Step 4: Simplify right side
    16,770.65x = 213,291,431.77
  5. Step 5: Solve for x
    x = 213,291,431.77/16,770.65
  6. Step 6: Final answer
    x = 12,718.14

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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.