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Finding the Fourth Proportional to 20,878.77, 31,319.82 and 8,397.15

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Solution

The fourth proportional to 20,878.77, 31,319.82 and 8,397.15 is: 12,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.77 : 31,319.82 = 8,397.15 : x
  2. Step 2: Convert to fraction form
    20,878.77/31,319.82 = 8,397.15/x
  3. Step 3: Cross multiply
    20,878.77x = 31,319.82 × 8,397.15
  4. Step 4: Simplify right side
    20,878.77x = 262,997,226.51
  5. Step 5: Solve for x
    x = 262,997,226.51/20,878.77
  6. Step 6: Final answer
    x = 12,596.39

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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.