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Finding the Fourth Proportional to 21,139.57, 31,714.22 and 6,348.77

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Solution

The fourth proportional to 21,139.57, 31,714.22 and 6,348.77 is: 9,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,139.57 : 31,714.22 = 6,348.77 : x
  2. Step 2: Convert to fraction form
    21,139.57/31,714.22 = 6,348.77/x
  3. Step 3: Cross multiply
    21,139.57x = 31,714.22 × 6,348.77
  4. Step 4: Simplify right side
    21,139.57x = 201,346,288.51
  5. Step 5: Solve for x
    x = 201,346,288.51/21,139.57
  6. Step 6: Final answer
    x = 9,524.62

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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.