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Finding the Fourth Proportional to 19,549.98, 29,320.46 and 11,654.71

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Solution

The fourth proportional to 19,549.98, 29,320.46 and 11,654.71 is: 17,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,549.98 : 29,320.46 = 11,654.71 : x
  2. Step 2: Convert to fraction form
    19,549.98/29,320.46 = 11,654.71/x
  3. Step 3: Cross multiply
    19,549.98x = 29,320.46 × 11,654.71
  4. Step 4: Simplify right side
    19,549.98x = 341,721,458.37
  5. Step 5: Solve for x
    x = 341,721,458.37/19,549.98
  6. Step 6: Final answer
    x = 17,479.38

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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.