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Finding the Fourth Proportional to 20,887.76, 31,337.42 and 9,646.54

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Solution

The fourth proportional to 20,887.76, 31,337.42 and 9,646.54 is: 14,472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,887.76 : 31,337.42 = 9,646.54 : x
  2. Step 2: Convert to fraction form
    20,887.76/31,337.42 = 9,646.54/x
  3. Step 3: Cross multiply
    20,887.76x = 31,337.42 × 9,646.54
  4. Step 4: Simplify right side
    20,887.76x = 302,297,675.53
  5. Step 5: Solve for x
    x = 302,297,675.53/20,887.76
  6. Step 6: Final answer
    x = 14,472.48

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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.