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Finding the Fourth Proportional to 19,731.88, 29,608.76 and 8,044.19

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Solution

The fourth proportional to 19,731.88, 29,608.76 and 8,044.19 is: 12,070.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,731.88 : 29,608.76 = 8,044.19 : x
  2. Step 2: Convert to fraction form
    19,731.88/29,608.76 = 8,044.19/x
  3. Step 3: Cross multiply
    19,731.88x = 29,608.76 × 8,044.19
  4. Step 4: Simplify right side
    19,731.88x = 238,178,491.10
  5. Step 5: Solve for x
    x = 238,178,491.10/19,731.88
  6. Step 6: Final answer
    x = 12,070.74

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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.