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Finding the Fourth Proportional to 22,917.60, 34,379.96 and 9,770

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Solution

The fourth proportional to 22,917.60, 34,379.96 and 9,770 is: 14,656.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,917.60 : 34,379.96 = 9,770 : x
  2. Step 2: Convert to fraction form
    22,917.60/34,379.96 = 9,770/x
  3. Step 3: Cross multiply
    22,917.60x = 34,379.96 × 9,770
  4. Step 4: Simplify right side
    22,917.60x = 335,892,209.20
  5. Step 5: Solve for x
    x = 335,892,209.20/22,917.60
  6. Step 6: Final answer
    x = 14,656.52

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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.