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Finding the Fourth Proportional to 20,133.15, 30,191.95 and 7,646.59

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Solution

The fourth proportional to 20,133.15, 30,191.95 and 7,646.59 is: 11,466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.15 : 30,191.95 = 7,646.59 : x
  2. Step 2: Convert to fraction form
    20,133.15/30,191.95 = 7,646.59/x
  3. Step 3: Cross multiply
    20,133.15x = 30,191.95 × 7,646.59
  4. Step 4: Simplify right side
    20,133.15x = 230,865,462.95
  5. Step 5: Solve for x
    x = 230,865,462.95/20,133.15
  6. Step 6: Final answer
    x = 11,466.93

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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.