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Finding the Fourth Proportional to 19,714.61, 29,554.33 and 7,231.72

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Solution

The fourth proportional to 19,714.61, 29,554.33 and 7,231.72 is: 10,841.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.61 : 29,554.33 = 7,231.72 : x
  2. Step 2: Convert to fraction form
    19,714.61/29,554.33 = 7,231.72/x
  3. Step 3: Cross multiply
    19,714.61x = 29,554.33 × 7,231.72
  4. Step 4: Simplify right side
    19,714.61x = 213,728,491.58
  5. Step 5: Solve for x
    x = 213,728,491.58/19,714.61
  6. Step 6: Final answer
    x = 10,841.12

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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.