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Finding the Fourth Proportional to 14,378.23, 19,838.95 and 8,408.73

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Solution

The fourth proportional to 14,378.23, 19,838.95 and 8,408.73 is: 11,602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.23 : 19,838.95 = 8,408.73 : x
  2. Step 2: Convert to fraction form
    14,378.23/19,838.95 = 8,408.73/x
  3. Step 3: Cross multiply
    14,378.23x = 19,838.95 × 8,408.73
  4. Step 4: Simplify right side
    14,378.23x = 166,820,374.03
  5. Step 5: Solve for x
    x = 166,820,374.03/14,378.23
  6. Step 6: Final answer
    x = 11,602.29

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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.