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Finding the Fourth Proportional to 16,277.88, 22,459.74 and 9,202.76

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Solution

The fourth proportional to 16,277.88, 22,459.74 and 9,202.76 is: 12,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.88 : 22,459.74 = 9,202.76 : x
  2. Step 2: Convert to fraction form
    16,277.88/22,459.74 = 9,202.76/x
  3. Step 3: Cross multiply
    16,277.88x = 22,459.74 × 9,202.76
  4. Step 4: Simplify right side
    16,277.88x = 206,691,596.88
  5. Step 5: Solve for x
    x = 206,691,596.88/16,277.88
  6. Step 6: Final answer
    x = 12,697.70

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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.