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Finding the Fourth Proportional to 13,929.15, 20,922.89 and 11,742.15

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Solution

The fourth proportional to 13,929.15, 20,922.89 and 11,742.15 is: 17,637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.15 : 20,922.89 = 11,742.15 : x
  2. Step 2: Convert to fraction form
    13,929.15/20,922.89 = 11,742.15/x
  3. Step 3: Cross multiply
    13,929.15x = 20,922.89 × 11,742.15
  4. Step 4: Simplify right side
    13,929.15x = 245,679,712.81
  5. Step 5: Solve for x
    x = 245,679,712.81/13,929.15
  6. Step 6: Final answer
    x = 17,637.81

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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.