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Finding the Fourth Proportional to 14,386.82, 21,587.21 and 6,494.78

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Solution

The fourth proportional to 14,386.82, 21,587.21 and 6,494.78 is: 9,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386.82 : 21,587.21 = 6,494.78 : x
  2. Step 2: Convert to fraction form
    14,386.82/21,587.21 = 6,494.78/x
  3. Step 3: Cross multiply
    14,386.82x = 21,587.21 × 6,494.78
  4. Step 4: Simplify right side
    14,386.82x = 140,204,225.61
  5. Step 5: Solve for x
    x = 140,204,225.61/14,386.82
  6. Step 6: Final answer
    x = 9,745.33

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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.