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Finding the Fourth Proportional to 12,367.77, 17,065.11 and 10,005.81

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Solution

The fourth proportional to 12,367.77, 17,065.11 and 10,005.81 is: 13,806.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.77 : 17,065.11 = 10,005.81 : x
  2. Step 2: Convert to fraction form
    12,367.77/17,065.11 = 10,005.81/x
  3. Step 3: Cross multiply
    12,367.77x = 17,065.11 × 10,005.81
  4. Step 4: Simplify right side
    12,367.77x = 170,750,248.29
  5. Step 5: Solve for x
    x = 170,750,248.29/12,367.77
  6. Step 6: Final answer
    x = 13,806.07

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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.