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Finding the Fourth Proportional to 22,305.96, 30,782.64 and 13,353.84

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Solution

The fourth proportional to 22,305.96, 30,782.64 and 13,353.84 is: 18,428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,305.96 : 30,782.64 = 13,353.84 : x
  2. Step 2: Convert to fraction form
    22,305.96/30,782.64 = 13,353.84/x
  3. Step 3: Cross multiply
    22,305.96x = 30,782.64 × 13,353.84
  4. Step 4: Simplify right side
    22,305.96x = 411,066,449.34
  5. Step 5: Solve for x
    x = 411,066,449.34/22,305.96
  6. Step 6: Final answer
    x = 18,428.55

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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.