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Finding the Fourth Proportional to 20,801.98, 31,206.06 and 7,653.40

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Solution

The fourth proportional to 20,801.98, 31,206.06 and 7,653.40 is: 11,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801.98 : 31,206.06 = 7,653.40 : x
  2. Step 2: Convert to fraction form
    20,801.98/31,206.06 = 7,653.40/x
  3. Step 3: Cross multiply
    20,801.98x = 31,206.06 × 7,653.40
  4. Step 4: Simplify right side
    20,801.98x = 238,832,459.60
  5. Step 5: Solve for x
    x = 238,832,459.60/20,801.98
  6. Step 6: Final answer
    x = 11,481.24

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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.