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Finding the Fourth Proportional to 24,534.84, 36,807.12 and 8,950.44

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Solution

The fourth proportional to 24,534.84, 36,807.12 and 8,950.44 is: 13,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534.84 : 36,807.12 = 8,950.44 : x
  2. Step 2: Convert to fraction form
    24,534.84/36,807.12 = 8,950.44/x
  3. Step 3: Cross multiply
    24,534.84x = 36,807.12 × 8,950.44
  4. Step 4: Simplify right side
    24,534.84x = 329,439,919.13
  5. Step 5: Solve for x
    x = 329,439,919.13/24,534.84
  6. Step 6: Final answer
    x = 13,427.43

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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.