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Finding the Fourth Proportional to 42,856, 64,287.24 and 13,276.82

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Solution

The fourth proportional to 42,856, 64,287.24 and 13,276.82 is: 19,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,856 : 64,287.24 = 13,276.82 : x
  2. Step 2: Convert to fraction form
    42,856/64,287.24 = 13,276.82/x
  3. Step 3: Cross multiply
    42,856x = 64,287.24 × 13,276.82
  4. Step 4: Simplify right side
    42,856x = 853,530,113.78
  5. Step 5: Solve for x
    x = 853,530,113.78/42,856
  6. Step 6: Final answer
    x = 19,916.23

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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.