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Finding the Fourth Proportional to 16,097.13, 24,146.10 and 4,409.64

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Solution

The fourth proportional to 16,097.13, 24,146.10 and 4,409.64 is: 6,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.13 : 24,146.10 = 4,409.64 : x
  2. Step 2: Convert to fraction form
    16,097.13/24,146.10 = 4,409.64/x
  3. Step 3: Cross multiply
    16,097.13x = 24,146.10 × 4,409.64
  4. Step 4: Simplify right side
    16,097.13x = 106,475,608.40
  5. Step 5: Solve for x
    x = 106,475,608.40/16,097.13
  6. Step 6: Final answer
    x = 6,614.57

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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.