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Finding the Fourth Proportional to 24,822.82, 37,233.84 and 9,027.64

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Solution

The fourth proportional to 24,822.82, 37,233.84 and 9,027.64 is: 13,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822.82 : 37,233.84 = 9,027.64 : x
  2. Step 2: Convert to fraction form
    24,822.82/37,233.84 = 9,027.64/x
  3. Step 3: Cross multiply
    24,822.82x = 37,233.84 × 9,027.64
  4. Step 4: Simplify right side
    24,822.82x = 336,133,703.34
  5. Step 5: Solve for x
    x = 336,133,703.34/24,822.82
  6. Step 6: Final answer
    x = 13,541.32

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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.