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Finding the Fourth Proportional to 24,809.22, 37,210.89 and 8,165.19

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Solution

The fourth proportional to 24,809.22, 37,210.89 and 8,165.19 is: 12,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,809.22 : 37,210.89 = 8,165.19 : x
  2. Step 2: Convert to fraction form
    24,809.22/37,210.89 = 8,165.19/x
  3. Step 3: Cross multiply
    24,809.22x = 37,210.89 × 8,165.19
  4. Step 4: Simplify right side
    24,809.22x = 303,833,986.92
  5. Step 5: Solve for x
    x = 303,833,986.92/24,809.22
  6. Step 6: Final answer
    x = 12,246.82

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1.5x scale

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.