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Finding the Fourth Proportional to 12,070.78, 16,658.14 and 6,765.70

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Solution

The fourth proportional to 12,070.78, 16,658.14 and 6,765.70 is: 9,336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,070.78 : 16,658.14 = 6,765.70 : x
  2. Step 2: Convert to fraction form
    12,070.78/16,658.14 = 6,765.70/x
  3. Step 3: Cross multiply
    12,070.78x = 16,658.14 × 6,765.70
  4. Step 4: Simplify right side
    12,070.78x = 112,703,977.80
  5. Step 5: Solve for x
    x = 112,703,977.80/12,070.78
  6. Step 6: Final answer
    x = 9,336.93

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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.