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Finding the Fourth Proportional to 12,364.11, 17,064.86 and 9,669.98

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Solution

The fourth proportional to 12,364.11, 17,064.86 and 9,669.98 is: 13,346.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.11 : 17,064.86 = 9,669.98 : x
  2. Step 2: Convert to fraction form
    12,364.11/17,064.86 = 9,669.98/x
  3. Step 3: Cross multiply
    12,364.11x = 17,064.86 × 9,669.98
  4. Step 4: Simplify right side
    12,364.11x = 165,016,849.22
  5. Step 5: Solve for x
    x = 165,016,849.22/12,364.11
  6. Step 6: Final answer
    x = 13,346.44

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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.