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Finding the Fourth Proportional to 12,809.19, 17,669.92 and 8,823.41

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Solution

The fourth proportional to 12,809.19, 17,669.92 and 8,823.41 is: 12,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.19 : 17,669.92 = 8,823.41 : x
  2. Step 2: Convert to fraction form
    12,809.19/17,669.92 = 8,823.41/x
  3. Step 3: Cross multiply
    12,809.19x = 17,669.92 × 8,823.41
  4. Step 4: Simplify right side
    12,809.19x = 155,908,948.83
  5. Step 5: Solve for x
    x = 155,908,948.83/12,809.19
  6. Step 6: Final answer
    x = 12,171.65

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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.