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Finding the Fourth Proportional to 12,868, 19,293.36 and 5,938.72

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Solution

The fourth proportional to 12,868, 19,293.36 and 5,938.72 is: 8,904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868 : 19,293.36 = 5,938.72 : x
  2. Step 2: Convert to fraction form
    12,868/19,293.36 = 5,938.72/x
  3. Step 3: Cross multiply
    12,868x = 19,293.36 × 5,938.72
  4. Step 4: Simplify right side
    12,868x = 114,577,862.90
  5. Step 5: Solve for x
    x = 114,577,862.90/12,868
  6. Step 6: Final answer
    x = 8,904.09

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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.