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Finding the Fourth Proportional to 16,199.76, 22,354.32 and 9,484.48

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Solution

The fourth proportional to 16,199.76, 22,354.32 and 9,484.48 is: 13,087.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.76 : 22,354.32 = 9,484.48 : x
  2. Step 2: Convert to fraction form
    16,199.76/22,354.32 = 9,484.48/x
  3. Step 3: Cross multiply
    16,199.76x = 22,354.32 × 9,484.48
  4. Step 4: Simplify right side
    16,199.76x = 212,019,100.95
  5. Step 5: Solve for x
    x = 212,019,100.95/16,199.76
  6. Step 6: Final answer
    x = 13,087.79

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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.