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Finding the Fourth Proportional to 12,307.16, 18,456.19 and 9,679.78

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Solution

The fourth proportional to 12,307.16, 18,456.19 and 9,679.78 is: 14,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.16 : 18,456.19 = 9,679.78 : x
  2. Step 2: Convert to fraction form
    12,307.16/18,456.19 = 9,679.78/x
  3. Step 3: Cross multiply
    12,307.16x = 18,456.19 × 9,679.78
  4. Step 4: Simplify right side
    12,307.16x = 178,651,857.71
  5. Step 5: Solve for x
    x = 178,651,857.71/12,307.16
  6. Step 6: Final answer
    x = 14,516.09

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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.