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Finding the Fourth Proportional to 14,408.69, 19,875.96 and 8,439.21

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Solution

The fourth proportional to 14,408.69, 19,875.96 and 8,439.21 is: 11,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.69 : 19,875.96 = 8,439.21 : x
  2. Step 2: Convert to fraction form
    14,408.69/19,875.96 = 8,439.21/x
  3. Step 3: Cross multiply
    14,408.69x = 19,875.96 × 8,439.21
  4. Step 4: Simplify right side
    14,408.69x = 167,737,400.39
  5. Step 5: Solve for x
    x = 167,737,400.39/14,408.69
  6. Step 6: Final answer
    x = 11,641.41

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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.