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Finding the Fourth Proportional to 24,803.31, 37,210.36 and 8,165.04

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Solution

The fourth proportional to 24,803.31, 37,210.36 and 8,165.04 is: 12,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,803.31 : 37,210.36 = 8,165.04 : x
  2. Step 2: Convert to fraction form
    24,803.31/37,210.36 = 8,165.04/x
  3. Step 3: Cross multiply
    24,803.31x = 37,210.36 × 8,165.04
  4. Step 4: Simplify right side
    24,803.31x = 303,824,077.81
  5. Step 5: Solve for x
    x = 303,824,077.81/24,803.31
  6. Step 6: Final answer
    x = 12,249.34

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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.