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Finding the Fourth Proportional to 27,235.68, 40,782.20 and 17,846.16

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Solution

The fourth proportional to 27,235.68, 40,782.20 and 17,846.16 is: 26,722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,235.68 : 40,782.20 = 17,846.16 : x
  2. Step 2: Convert to fraction form
    27,235.68/40,782.20 = 17,846.16/x
  3. Step 3: Cross multiply
    27,235.68x = 40,782.20 × 17,846.16
  4. Step 4: Simplify right side
    27,235.68x = 727,805,666.35
  5. Step 5: Solve for x
    x = 727,805,666.35/27,235.68
  6. Step 6: Final answer
    x = 26,722.51

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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.