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Finding the Fourth Proportional to 19,876.39, 29,820.40 and 8,024.06

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Solution

The fourth proportional to 19,876.39, 29,820.40 and 8,024.06 is: 12,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.39 : 29,820.40 = 8,024.06 : x
  2. Step 2: Convert to fraction form
    19,876.39/29,820.40 = 8,024.06/x
  3. Step 3: Cross multiply
    19,876.39x = 29,820.40 × 8,024.06
  4. Step 4: Simplify right side
    19,876.39x = 239,280,778.45
  5. Step 5: Solve for x
    x = 239,280,778.45/19,876.39
  6. Step 6: Final answer
    x = 12,038.44

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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.