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Finding the Fourth Proportional to 20,143.19, 30,206.91 and 7,656.59

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Solution

The fourth proportional to 20,143.19, 30,206.91 and 7,656.59 is: 11,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.19 : 30,206.91 = 7,656.59 : x
  2. Step 2: Convert to fraction form
    20,143.19/30,206.91 = 7,656.59/x
  3. Step 3: Cross multiply
    20,143.19x = 30,206.91 × 7,656.59
  4. Step 4: Simplify right side
    20,143.19x = 231,281,925.04
  5. Step 5: Solve for x
    x = 231,281,925.04/20,143.19
  6. Step 6: Final answer
    x = 11,481.89

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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.