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Finding the Fourth Proportional to 20,185.58, 30,291.06 and 10,706.42

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Solution

The fourth proportional to 20,185.58, 30,291.06 and 10,706.42 is: 16,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185.58 : 30,291.06 = 10,706.42 : x
  2. Step 2: Convert to fraction form
    20,185.58/30,291.06 = 10,706.42/x
  3. Step 3: Cross multiply
    20,185.58x = 30,291.06 × 10,706.42
  4. Step 4: Simplify right side
    20,185.58x = 324,308,810.61
  5. Step 5: Solve for x
    x = 324,308,810.61/20,185.58
  6. Step 6: Final answer
    x = 16,066.36

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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.