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Finding the Fourth Proportional to 16,097.16, 24,145.20 and 10,866.56

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Solution

The fourth proportional to 16,097.16, 24,145.20 and 10,866.56 is: 16,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.16 : 24,145.20 = 10,866.56 : x
  2. Step 2: Convert to fraction form
    16,097.16/24,145.20 = 10,866.56/x
  3. Step 3: Cross multiply
    16,097.16x = 24,145.20 × 10,866.56
  4. Step 4: Simplify right side
    16,097.16x = 262,375,264.51
  5. Step 5: Solve for x
    x = 262,375,264.51/16,097.16
  6. Step 6: Final answer
    x = 16,299.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.