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Finding the Fourth Proportional to 21,132.96, 31,702.54 and 6,343.05

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Solution

The fourth proportional to 21,132.96, 31,702.54 and 6,343.05 is: 9,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,132.96 : 31,702.54 = 6,343.05 : x
  2. Step 2: Convert to fraction form
    21,132.96/31,702.54 = 6,343.05/x
  3. Step 3: Cross multiply
    21,132.96x = 31,702.54 × 6,343.05
  4. Step 4: Simplify right side
    21,132.96x = 201,090,796.35
  5. Step 5: Solve for x
    x = 201,090,796.35/21,132.96
  6. Step 6: Final answer
    x = 9,515.51

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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.