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Finding the Fourth Proportional to 19,857.42, 29,798.69 and 11,098.08

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Solution

The fourth proportional to 19,857.42, 29,798.69 and 11,098.08 is: 16,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.42 : 29,798.69 = 11,098.08 : x
  2. Step 2: Convert to fraction form
    19,857.42/29,798.69 = 11,098.08/x
  3. Step 3: Cross multiply
    19,857.42x = 29,798.69 × 11,098.08
  4. Step 4: Simplify right side
    19,857.42x = 330,708,190.02
  5. Step 5: Solve for x
    x = 330,708,190.02/19,857.42
  6. Step 6: Final answer
    x = 16,654.14

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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.