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Finding the Fourth Proportional to 20,883.85, 31,331.55 and 9,642.63

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Solution

The fourth proportional to 20,883.85, 31,331.55 and 9,642.63 is: 14,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,883.85 : 31,331.55 = 9,642.63 : x
  2. Step 2: Convert to fraction form
    20,883.85/31,331.55 = 9,642.63/x
  3. Step 3: Cross multiply
    20,883.85x = 31,331.55 × 9,642.63
  4. Step 4: Simplify right side
    20,883.85x = 302,118,406.15
  5. Step 5: Solve for x
    x = 302,118,406.15/20,883.85
  6. Step 6: Final answer
    x = 14,466.61

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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.