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Finding the Fourth Proportional to 16,300.14, 24,441.98 and 7,967.68

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Solution

The fourth proportional to 16,300.14, 24,441.98 and 7,967.68 is: 11,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300.14 : 24,441.98 = 7,967.68 : x
  2. Step 2: Convert to fraction form
    16,300.14/24,441.98 = 7,967.68/x
  3. Step 3: Cross multiply
    16,300.14x = 24,441.98 × 7,967.68
  4. Step 4: Simplify right side
    16,300.14x = 194,745,875.21
  5. Step 5: Solve for x
    x = 194,745,875.21/16,300.14
  6. Step 6: Final answer
    x = 11,947.50

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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.