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Finding the Fourth Proportional to 20,798.88, 31,202.10 and 9,554.91

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Solution

The fourth proportional to 20,798.88, 31,202.10 and 9,554.91 is: 14,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,798.88 : 31,202.10 = 9,554.91 : x
  2. Step 2: Convert to fraction form
    20,798.88/31,202.10 = 9,554.91/x
  3. Step 3: Cross multiply
    20,798.88x = 31,202.10 × 9,554.91
  4. Step 4: Simplify right side
    20,798.88x = 298,133,257.31
  5. Step 5: Solve for x
    x = 298,133,257.31/20,798.88
  6. Step 6: Final answer
    x = 14,334.10

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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.