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Finding the Fourth Proportional to 19,878.90, 29,824.16 and 8,026.57

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Solution

The fourth proportional to 19,878.90, 29,824.16 and 8,026.57 is: 12,042.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.90 : 29,824.16 = 8,026.57 : x
  2. Step 2: Convert to fraction form
    19,878.90/29,824.16 = 8,026.57/x
  3. Step 3: Cross multiply
    19,878.90x = 29,824.16 × 8,026.57
  4. Step 4: Simplify right side
    19,878.90x = 239,385,707.93
  5. Step 5: Solve for x
    x = 239,385,707.93/19,878.90
  6. Step 6: Final answer
    x = 12,042.20

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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.