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Finding the Fourth Proportional to 24,857.91, 37,278.93 and 8,214.84

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Solution

The fourth proportional to 24,857.91, 37,278.93 and 8,214.84 is: 12,319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857.91 : 37,278.93 = 8,214.84 : x
  2. Step 2: Convert to fraction form
    24,857.91/37,278.93 = 8,214.84/x
  3. Step 3: Cross multiply
    24,857.91x = 37,278.93 × 8,214.84
  4. Step 4: Simplify right side
    24,857.91x = 306,240,445.32
  5. Step 5: Solve for x
    x = 306,240,445.32/24,857.91
  6. Step 6: Final answer
    x = 12,319.64

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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.