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Finding the Fourth Proportional to 16,406.78, 24,614.06 and 5,313.45

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Solution

The fourth proportional to 16,406.78, 24,614.06 and 5,313.45 is: 7,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.78 : 24,614.06 = 5,313.45 : x
  2. Step 2: Convert to fraction form
    16,406.78/24,614.06 = 5,313.45/x
  3. Step 3: Cross multiply
    16,406.78x = 24,614.06 × 5,313.45
  4. Step 4: Simplify right side
    16,406.78x = 130,785,672.73
  5. Step 5: Solve for x
    x = 130,785,672.73/16,406.78
  6. Step 6: Final answer
    x = 7,971.44

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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.