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Finding the Fourth Proportional to 13,376.54, 18,459.77 and 7,408.31

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Solution

The fourth proportional to 13,376.54, 18,459.77 and 7,408.31 is: 10,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.54 : 18,459.77 = 7,408.31 : x
  2. Step 2: Convert to fraction form
    13,376.54/18,459.77 = 7,408.31/x
  3. Step 3: Cross multiply
    13,376.54x = 18,459.77 × 7,408.31
  4. Step 4: Simplify right side
    13,376.54x = 136,755,624.91
  5. Step 5: Solve for x
    x = 136,755,624.91/13,376.54
  6. Step 6: Final answer
    x = 10,223.55

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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.