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Finding the Fourth Proportional to 19,714.50, 29,570.67 and 8,037.54

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Solution

The fourth proportional to 19,714.50, 29,570.67 and 8,037.54 is: 12,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.50 : 29,570.67 = 8,037.54 : x
  2. Step 2: Convert to fraction form
    19,714.50/29,570.67 = 8,037.54/x
  3. Step 3: Cross multiply
    19,714.50x = 29,570.67 × 8,037.54
  4. Step 4: Simplify right side
    19,714.50x = 237,675,442.95
  5. Step 5: Solve for x
    x = 237,675,442.95/19,714.50
  6. Step 6: Final answer
    x = 12,055.87

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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.