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Finding the Fourth Proportional to 27,502.42, 41,260.35 and 8,782.46

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Solution

The fourth proportional to 27,502.42, 41,260.35 and 8,782.46 is: 13,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,502.42 : 41,260.35 = 8,782.46 : x
  2. Step 2: Convert to fraction form
    27,502.42/41,260.35 = 8,782.46/x
  3. Step 3: Cross multiply
    27,502.42x = 41,260.35 × 8,782.46
  4. Step 4: Simplify right side
    27,502.42x = 362,367,373.46
  5. Step 5: Solve for x
    x = 362,367,373.46/27,502.42
  6. Step 6: Final answer
    x = 13,175.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.