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Finding the Fourth Proportional to 16,516.74, 24,782.04 and 10,281.96

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Solution

The fourth proportional to 16,516.74, 24,782.04 and 10,281.96 is: 15,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.74 : 24,782.04 = 10,281.96 : x
  2. Step 2: Convert to fraction form
    16,516.74/24,782.04 = 10,281.96/x
  3. Step 3: Cross multiply
    16,516.74x = 24,782.04 × 10,281.96
  4. Step 4: Simplify right side
    16,516.74x = 254,807,944.00
  5. Step 5: Solve for x
    x = 254,807,944.00/16,516.74
  6. Step 6: Final answer
    x = 15,427.25

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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.