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Finding the Fourth Proportional to 16,199.66, 22,354.96 and 9,826.98

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Solution

The fourth proportional to 16,199.66, 22,354.96 and 9,826.98 is: 13,560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.66 : 22,354.96 = 9,826.98 : x
  2. Step 2: Convert to fraction form
    16,199.66/22,354.96 = 9,826.98/x
  3. Step 3: Cross multiply
    16,199.66x = 22,354.96 × 9,826.98
  4. Step 4: Simplify right side
    16,199.66x = 219,681,744.82
  5. Step 5: Solve for x
    x = 219,681,744.82/16,199.66
  6. Step 6: Final answer
    x = 13,560.89

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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.