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Finding the Fourth Proportional to 20,799.40, 31,177.02 and 9,693.16

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Solution

The fourth proportional to 20,799.40, 31,177.02 and 9,693.16 is: 14,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,799.40 : 31,177.02 = 9,693.16 : x
  2. Step 2: Convert to fraction form
    20,799.40/31,177.02 = 9,693.16/x
  3. Step 3: Cross multiply
    20,799.40x = 31,177.02 × 9,693.16
  4. Step 4: Simplify right side
    20,799.40x = 302,203,843.18
  5. Step 5: Solve for x
    x = 302,203,843.18/20,799.40
  6. Step 6: Final answer
    x = 14,529.45

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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.