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Finding the Fourth Proportional to 13,814.28, 19,058 and 9,624.96

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Solution

The fourth proportional to 13,814.28, 19,058 and 9,624.96 is: 13,278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.28 : 19,058 = 9,624.96 : x
  2. Step 2: Convert to fraction form
    13,814.28/19,058 = 9,624.96/x
  3. Step 3: Cross multiply
    13,814.28x = 19,058 × 9,624.96
  4. Step 4: Simplify right side
    13,814.28x = 183,432,487.68
  5. Step 5: Solve for x
    x = 183,432,487.68/13,814.28
  6. Step 6: Final answer
    x = 13,278.47

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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.