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Finding the Fourth Proportional to 19,878.41, 29,806.28 and 8,177.69

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Solution

The fourth proportional to 19,878.41, 29,806.28 and 8,177.69 is: 12,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.41 : 29,806.28 = 8,177.69 : x
  2. Step 2: Convert to fraction form
    19,878.41/29,806.28 = 8,177.69/x
  3. Step 3: Cross multiply
    19,878.41x = 29,806.28 × 8,177.69
  4. Step 4: Simplify right side
    19,878.41x = 243,746,582.19
  5. Step 5: Solve for x
    x = 243,746,582.19/19,878.41
  6. Step 6: Final answer
    x = 12,261.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.