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Finding the Fourth Proportional to 24,037.50, 36,056.25 and 8,453.34

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Solution

The fourth proportional to 24,037.50, 36,056.25 and 8,453.34 is: 12,680.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,037.50 : 36,056.25 = 8,453.34 : x
  2. Step 2: Convert to fraction form
    24,037.50/36,056.25 = 8,453.34/x
  3. Step 3: Cross multiply
    24,037.50x = 36,056.25 × 8,453.34
  4. Step 4: Simplify right side
    24,037.50x = 304,795,740.38
  5. Step 5: Solve for x
    x = 304,795,740.38/24,037.50
  6. Step 6: Final answer
    x = 12,680.01

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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.