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Finding the Fourth Proportional to 19,823.60, 29,732.16 and 7,349.42

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Solution

The fourth proportional to 19,823.60, 29,732.16 and 7,349.42 is: 11,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.60 : 29,732.16 = 7,349.42 : x
  2. Step 2: Convert to fraction form
    19,823.60/29,732.16 = 7,349.42/x
  3. Step 3: Cross multiply
    19,823.60x = 29,732.16 × 7,349.42
  4. Step 4: Simplify right side
    19,823.60x = 218,514,131.35
  5. Step 5: Solve for x
    x = 218,514,131.35/19,823.60
  6. Step 6: Final answer
    x = 11,022.93

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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.