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Finding the Fourth Proportional to 14,402.36, 19,874.91 and 8,353.68

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Solution

The fourth proportional to 14,402.36, 19,874.91 and 8,353.68 is: 11,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.36 : 19,874.91 = 8,353.68 : x
  2. Step 2: Convert to fraction form
    14,402.36/19,874.91 = 8,353.68/x
  3. Step 3: Cross multiply
    14,402.36x = 19,874.91 × 8,353.68
  4. Step 4: Simplify right side
    14,402.36x = 166,028,638.17
  5. Step 5: Solve for x
    x = 166,028,638.17/14,402.36
  6. Step 6: Final answer
    x = 11,527.88

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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.