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Finding the Fourth Proportional to 16,106.99, 22,222.28 and 9,735.53

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Solution

The fourth proportional to 16,106.99, 22,222.28 and 9,735.53 is: 13,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.99 : 22,222.28 = 9,735.53 : x
  2. Step 2: Convert to fraction form
    16,106.99/22,222.28 = 9,735.53/x
  3. Step 3: Cross multiply
    16,106.99x = 22,222.28 × 9,735.53
  4. Step 4: Simplify right side
    16,106.99x = 216,345,586.84
  5. Step 5: Solve for x
    x = 216,345,586.84/16,106.99
  6. Step 6: Final answer
    x = 13,431.79

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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.