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Finding the Fourth Proportional to 12,850.16, 19,274.94 and 5,924.66

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Solution

The fourth proportional to 12,850.16, 19,274.94 and 5,924.66 is: 8,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.16 : 19,274.94 = 5,924.66 : x
  2. Step 2: Convert to fraction form
    12,850.16/19,274.94 = 5,924.66/x
  3. Step 3: Cross multiply
    12,850.16x = 19,274.94 × 5,924.66
  4. Step 4: Simplify right side
    12,850.16x = 114,197,466.02
  5. Step 5: Solve for x
    x = 114,197,466.02/12,850.16
  6. Step 6: Final answer
    x = 8,886.85

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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.