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Finding the Fourth Proportional to 27,215.83, 40,825.26 and 8,498.45

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Solution

The fourth proportional to 27,215.83, 40,825.26 and 8,498.45 is: 12,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,215.83 : 40,825.26 = 8,498.45 : x
  2. Step 2: Convert to fraction form
    27,215.83/40,825.26 = 8,498.45/x
  3. Step 3: Cross multiply
    27,215.83x = 40,825.26 × 8,498.45
  4. Step 4: Simplify right side
    27,215.83x = 346,951,226.72
  5. Step 5: Solve for x
    x = 346,951,226.72/27,215.83
  6. Step 6: Final answer
    x = 12,748.14

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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.