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Finding the Fourth Proportional to 16,281.50, 24,424.04 and 5,185.58

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Solution

The fourth proportional to 16,281.50, 24,424.04 and 5,185.58 is: 7,778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.50 : 24,424.04 = 5,185.58 : x
  2. Step 2: Convert to fraction form
    16,281.50/24,424.04 = 5,185.58/x
  3. Step 3: Cross multiply
    16,281.50x = 24,424.04 × 5,185.58
  4. Step 4: Simplify right side
    16,281.50x = 126,652,848.48
  5. Step 5: Solve for x
    x = 126,652,848.48/16,281.50
  6. Step 6: Final answer
    x = 7,778.94

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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.