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Finding the Fourth Proportional to 16,535.36, 24,802.74 and 5,442.14

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Solution

The fourth proportional to 16,535.36, 24,802.74 and 5,442.14 is: 8,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.36 : 24,802.74 = 5,442.14 : x
  2. Step 2: Convert to fraction form
    16,535.36/24,802.74 = 5,442.14/x
  3. Step 3: Cross multiply
    16,535.36x = 24,802.74 × 5,442.14
  4. Step 4: Simplify right side
    16,535.36x = 134,979,983.46
  5. Step 5: Solve for x
    x = 134,979,983.46/16,535.36
  6. Step 6: Final answer
    x = 8,163.11

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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.