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Finding the Fourth Proportional to 20,886.62, 31,326.73 and 7,735.76

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Solution

The fourth proportional to 20,886.62, 31,326.73 and 7,735.76 is: 11,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,886.62 : 31,326.73 = 7,735.76 : x
  2. Step 2: Convert to fraction form
    20,886.62/31,326.73 = 7,735.76/x
  3. Step 3: Cross multiply
    20,886.62x = 31,326.73 × 7,735.76
  4. Step 4: Simplify right side
    20,886.62x = 242,336,064.86
  5. Step 5: Solve for x
    x = 242,336,064.86/20,886.62
  6. Step 6: Final answer
    x = 11,602.45

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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.