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Finding the Fourth Proportional to 24,471.19, 36,709.22 and 7,827.04

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Solution

The fourth proportional to 24,471.19, 36,709.22 and 7,827.04 is: 11,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.19 : 36,709.22 = 7,827.04 : x
  2. Step 2: Convert to fraction form
    24,471.19/36,709.22 = 7,827.04/x
  3. Step 3: Cross multiply
    24,471.19x = 36,709.22 × 7,827.04
  4. Step 4: Simplify right side
    24,471.19x = 287,324,533.31
  5. Step 5: Solve for x
    x = 287,324,533.31/24,471.19
  6. Step 6: Final answer
    x = 11,741.34

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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.