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Finding the Fourth Proportional to 16,120.16, 22,253.04 and 9,835.04

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Solution

The fourth proportional to 16,120.16, 22,253.04 and 9,835.04 is: 13,576.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,120.16 : 22,253.04 = 9,835.04 : x
  2. Step 2: Convert to fraction form
    16,120.16/22,253.04 = 9,835.04/x
  3. Step 3: Cross multiply
    16,120.16x = 22,253.04 × 9,835.04
  4. Step 4: Simplify right side
    16,120.16x = 218,859,538.52
  5. Step 5: Solve for x
    x = 218,859,538.52/16,120.16
  6. Step 6: Final answer
    x = 13,576.76

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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.