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Finding the Fourth Proportional to 14,648.31, 20,214.36 and 7,933.68

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Solution

The fourth proportional to 14,648.31, 20,214.36 and 7,933.68 is: 10,948.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.31 : 20,214.36 = 7,933.68 : x
  2. Step 2: Convert to fraction form
    14,648.31/20,214.36 = 7,933.68/x
  3. Step 3: Cross multiply
    14,648.31x = 20,214.36 × 7,933.68
  4. Step 4: Simplify right side
    14,648.31x = 160,374,263.64
  5. Step 5: Solve for x
    x = 160,374,263.64/14,648.31
  6. Step 6: Final answer
    x = 10,948.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.