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Finding the Fourth Proportional to 12,307.69, 16,977.77 and 8,065.59

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Solution

The fourth proportional to 12,307.69, 16,977.77 and 8,065.59 is: 11,126.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.69 : 16,977.77 = 8,065.59 : x
  2. Step 2: Convert to fraction form
    12,307.69/16,977.77 = 8,065.59/x
  3. Step 3: Cross multiply
    12,307.69x = 16,977.77 × 8,065.59
  4. Step 4: Simplify right side
    12,307.69x = 136,935,745.33
  5. Step 5: Solve for x
    x = 136,935,745.33/12,307.69
  6. Step 6: Final answer
    x = 11,126.03

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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.