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Finding the Fourth Proportional to 20,714.88, 31,064.76 and 7,563.36

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Solution

The fourth proportional to 20,714.88, 31,064.76 and 7,563.36 is: 11,342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.88 : 31,064.76 = 7,563.36 : x
  2. Step 2: Convert to fraction form
    20,714.88/31,064.76 = 7,563.36/x
  3. Step 3: Cross multiply
    20,714.88x = 31,064.76 × 7,563.36
  4. Step 4: Simplify right side
    20,714.88x = 234,953,963.19
  5. Step 5: Solve for x
    x = 234,953,963.19/20,714.88
  6. Step 6: Final answer
    x = 11,342.28

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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.