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Finding the Fourth Proportional to 12,190.10, 16,816.14 and 7,408.78

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Solution

The fourth proportional to 12,190.10, 16,816.14 and 7,408.78 is: 10,220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.10 : 16,816.14 = 7,408.78 : x
  2. Step 2: Convert to fraction form
    12,190.10/16,816.14 = 7,408.78/x
  3. Step 3: Cross multiply
    12,190.10x = 16,816.14 × 7,408.78
  4. Step 4: Simplify right side
    12,190.10x = 124,587,081.71
  5. Step 5: Solve for x
    x = 124,587,081.71/12,190.10
  6. Step 6: Final answer
    x = 10,220.35

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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.