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Finding the Fourth Proportional to 42,651, 63,976.50 and 11,486.26

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Solution

The fourth proportional to 42,651, 63,976.50 and 11,486.26 is: 17,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,651 : 63,976.50 = 11,486.26 : x
  2. Step 2: Convert to fraction form
    42,651/63,976.50 = 11,486.26/x
  3. Step 3: Cross multiply
    42,651x = 63,976.50 × 11,486.26
  4. Step 4: Simplify right side
    42,651x = 734,850,712.89
  5. Step 5: Solve for x
    x = 734,850,712.89/42,651
  6. Step 6: Final answer
    x = 17,229.39

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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.