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Finding the Fourth Proportional to 14,716.96, 22,078.68 and 6,398.26

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Solution

The fourth proportional to 14,716.96, 22,078.68 and 6,398.26 is: 9,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.96 : 22,078.68 = 6,398.26 : x
  2. Step 2: Convert to fraction form
    14,716.96/22,078.68 = 6,398.26/x
  3. Step 3: Cross multiply
    14,716.96x = 22,078.68 × 6,398.26
  4. Step 4: Simplify right side
    14,716.96x = 141,265,135.10
  5. Step 5: Solve for x
    x = 141,265,135.10/14,716.96
  6. Step 6: Final answer
    x = 9,598.80

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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.