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Finding the Fourth Proportional to 16,190.96, 22,344.54 and 9,822.02

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Solution

The fourth proportional to 16,190.96, 22,344.54 and 9,822.02 is: 13,555.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,190.96 : 22,344.54 = 9,822.02 : x
  2. Step 2: Convert to fraction form
    16,190.96/22,344.54 = 9,822.02/x
  3. Step 3: Cross multiply
    16,190.96x = 22,344.54 × 9,822.02
  4. Step 4: Simplify right side
    16,190.96x = 219,468,518.77
  5. Step 5: Solve for x
    x = 219,468,518.77/16,190.96
  6. Step 6: Final answer
    x = 13,555.00

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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.