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Finding the Fourth Proportional to 12,307.93, 16,986.31 and 6,930.52

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Solution

The fourth proportional to 12,307.93, 16,986.31 and 6,930.52 is: 9,564.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.93 : 16,986.31 = 6,930.52 : x
  2. Step 2: Convert to fraction form
    12,307.93/16,986.31 = 6,930.52/x
  3. Step 3: Cross multiply
    12,307.93x = 16,986.31 × 6,930.52
  4. Step 4: Simplify right side
    12,307.93x = 117,723,901.39
  5. Step 5: Solve for x
    x = 117,723,901.39/12,307.93
  6. Step 6: Final answer
    x = 9,564.88

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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.