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Finding the Fourth Proportional to 19,641.86, 29,467.40 and 6,494.23

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Solution

The fourth proportional to 19,641.86, 29,467.40 and 6,494.23 is: 9,742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.86 : 29,467.40 = 6,494.23 : x
  2. Step 2: Convert to fraction form
    19,641.86/29,467.40 = 6,494.23/x
  3. Step 3: Cross multiply
    19,641.86x = 29,467.40 × 6,494.23
  4. Step 4: Simplify right side
    19,641.86x = 191,367,893.29
  5. Step 5: Solve for x
    x = 191,367,893.29/19,641.86
  6. Step 6: Final answer
    x = 9,742.86

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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.