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Finding the Fourth Proportional to 20,801.57, 31,220.88 and 9,714.39

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Solution

The fourth proportional to 20,801.57, 31,220.88 and 9,714.39 is: 14,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801.57 : 31,220.88 = 9,714.39 : x
  2. Step 2: Convert to fraction form
    20,801.57/31,220.88 = 9,714.39/x
  3. Step 3: Cross multiply
    20,801.57x = 31,220.88 × 9,714.39
  4. Step 4: Simplify right side
    20,801.57x = 303,291,804.46
  5. Step 5: Solve for x
    x = 303,291,804.46/20,801.57
  6. Step 6: Final answer
    x = 14,580.24

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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.