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Finding the Fourth Proportional to 24,500.37, 36,750.96 and 6,970.65

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Solution

The fourth proportional to 24,500.37, 36,750.96 and 6,970.65 is: 10,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,500.37 : 36,750.96 = 6,970.65 : x
  2. Step 2: Convert to fraction form
    24,500.37/36,750.96 = 6,970.65/x
  3. Step 3: Cross multiply
    24,500.37x = 36,750.96 × 6,970.65
  4. Step 4: Simplify right side
    24,500.37x = 256,178,079.32
  5. Step 5: Solve for x
    x = 256,178,079.32/24,500.37
  6. Step 6: Final answer
    x = 10,456.09

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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.