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Finding the Fourth Proportional to 13,074.86, 19,612.50 and 3,714.91

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Solution

The fourth proportional to 13,074.86, 19,612.50 and 3,714.91 is: 5,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.86 : 19,612.50 = 3,714.91 : x
  2. Step 2: Convert to fraction form
    13,074.86/19,612.50 = 3,714.91/x
  3. Step 3: Cross multiply
    13,074.86x = 19,612.50 × 3,714.91
  4. Step 4: Simplify right side
    13,074.86x = 72,858,609.41
  5. Step 5: Solve for x
    x = 72,858,609.41/13,074.86
  6. Step 6: Final answer
    x = 5,572.42

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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.