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Finding the Fourth Proportional to 16,408.05, 22,642.90 and 9,334.45

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Solution

The fourth proportional to 16,408.05, 22,642.90 and 9,334.45 is: 12,881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.05 : 22,642.90 = 9,334.45 : x
  2. Step 2: Convert to fraction form
    16,408.05/22,642.90 = 9,334.45/x
  3. Step 3: Cross multiply
    16,408.05x = 22,642.90 × 9,334.45
  4. Step 4: Simplify right side
    16,408.05x = 211,359,017.91
  5. Step 5: Solve for x
    x = 211,359,017.91/16,408.05
  6. Step 6: Final answer
    x = 12,881.42

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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.