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Finding the Fourth Proportional to 21,132.48, 31,704 and 6,341.67

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Solution

The fourth proportional to 21,132.48, 31,704 and 6,341.67 is: 9,514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,132.48 : 31,704 = 6,341.67 : x
  2. Step 2: Convert to fraction form
    21,132.48/31,704 = 6,341.67/x
  3. Step 3: Cross multiply
    21,132.48x = 31,704 × 6,341.67
  4. Step 4: Simplify right side
    21,132.48x = 201,056,305.68
  5. Step 5: Solve for x
    x = 201,056,305.68/21,132.48
  6. Step 6: Final answer
    x = 9,514.09

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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.