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Finding the Fourth Proportional to 16,190.54, 22,343.35 and 9,117.20

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Solution

The fourth proportional to 16,190.54, 22,343.35 and 9,117.20 is: 12,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,190.54 : 22,343.35 = 9,117.20 : x
  2. Step 2: Convert to fraction form
    16,190.54/22,343.35 = 9,117.20/x
  3. Step 3: Cross multiply
    16,190.54x = 22,343.35 × 9,117.20
  4. Step 4: Simplify right side
    16,190.54x = 203,708,656.11
  5. Step 5: Solve for x
    x = 203,708,656.11/16,190.54
  6. Step 6: Final answer
    x = 12,581.96

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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.