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Finding the Fourth Proportional to 21,208.66, 31,785.50 and 8,714.54

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Solution

The fourth proportional to 21,208.66, 31,785.50 and 8,714.54 is: 13,060.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,208.66 : 31,785.50 = 8,714.54 : x
  2. Step 2: Convert to fraction form
    21,208.66/31,785.50 = 8,714.54/x
  3. Step 3: Cross multiply
    21,208.66x = 31,785.50 × 8,714.54
  4. Step 4: Simplify right side
    21,208.66x = 276,996,011.17
  5. Step 5: Solve for x
    x = 276,996,011.17/21,208.66
  6. Step 6: Final answer
    x = 13,060.51

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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.