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Finding the Fourth Proportional to 16,011.70, 24,017.54 and 8,215.54

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Solution

The fourth proportional to 16,011.70, 24,017.54 and 8,215.54 is: 12,323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,011.70 : 24,017.54 = 8,215.54 : x
  2. Step 2: Convert to fraction form
    16,011.70/24,017.54 = 8,215.54/x
  3. Step 3: Cross multiply
    16,011.70x = 24,017.54 × 8,215.54
  4. Step 4: Simplify right side
    16,011.70x = 197,317,060.57
  5. Step 5: Solve for x
    x = 197,317,060.57/16,011.70
  6. Step 6: Final answer
    x = 12,323.30

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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.