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Finding the Fourth Proportional to 16,315.46, 24,474.81 and 5,219.36

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Solution

The fourth proportional to 16,315.46, 24,474.81 and 5,219.36 is: 7,829.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315.46 : 24,474.81 = 5,219.36 : x
  2. Step 2: Convert to fraction form
    16,315.46/24,474.81 = 5,219.36/x
  3. Step 3: Cross multiply
    16,315.46x = 24,474.81 × 5,219.36
  4. Step 4: Simplify right side
    16,315.46x = 127,742,844.32
  5. Step 5: Solve for x
    x = 127,742,844.32/16,315.46
  6. Step 6: Final answer
    x = 7,829.56

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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.