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Finding the Fourth Proportional to 12,827.68, 19,243.86 and 5,902

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Solution

The fourth proportional to 12,827.68, 19,243.86 and 5,902 is: 8,854.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.68 : 19,243.86 = 5,902 : x
  2. Step 2: Convert to fraction form
    12,827.68/19,243.86 = 5,902/x
  3. Step 3: Cross multiply
    12,827.68x = 19,243.86 × 5,902
  4. Step 4: Simplify right side
    12,827.68x = 113,577,261.72
  5. Step 5: Solve for x
    x = 113,577,261.72/12,827.68
  6. Step 6: Final answer
    x = 8,854.08

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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.