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Finding the Fourth Proportional to 14,407.39, 19,882.02 and 8,119.77

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Solution

The fourth proportional to 14,407.39, 19,882.02 and 8,119.77 is: 11,205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.39 : 19,882.02 = 8,119.77 : x
  2. Step 2: Convert to fraction form
    14,407.39/19,882.02 = 8,119.77/x
  3. Step 3: Cross multiply
    14,407.39x = 19,882.02 × 8,119.77
  4. Step 4: Simplify right side
    14,407.39x = 161,437,429.54
  5. Step 5: Solve for x
    x = 161,437,429.54/14,407.39
  6. Step 6: Final answer
    x = 11,205.18

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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.