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Finding the Fourth Proportional to 19,798.12, 29,697.12 and 8,111.36

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Solution

The fourth proportional to 19,798.12, 29,697.12 and 8,111.36 is: 12,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,798.12 : 29,697.12 = 8,111.36 : x
  2. Step 2: Convert to fraction form
    19,798.12/29,697.12 = 8,111.36/x
  3. Step 3: Cross multiply
    19,798.12x = 29,697.12 × 8,111.36
  4. Step 4: Simplify right side
    19,798.12x = 240,884,031.28
  5. Step 5: Solve for x
    x = 240,884,031.28/19,798.12
  6. Step 6: Final answer
    x = 12,167.02

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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.