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Finding the Fourth Proportional to 16,484.31, 24,709.03 and 5,388.02

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Solution

The fourth proportional to 16,484.31, 24,709.03 and 5,388.02 is: 8,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484.31 : 24,709.03 = 5,388.02 : x
  2. Step 2: Convert to fraction form
    16,484.31/24,709.03 = 5,388.02/x
  3. Step 3: Cross multiply
    16,484.31x = 24,709.03 × 5,388.02
  4. Step 4: Simplify right side
    16,484.31x = 133,132,597.34
  5. Step 5: Solve for x
    x = 133,132,597.34/16,484.31
  6. Step 6: Final answer
    x = 8,076.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.