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Finding the Fourth Proportional to 20,774.76, 31,143.64 and 7,624.08

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Solution

The fourth proportional to 20,774.76, 31,143.64 and 7,624.08 is: 11,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774.76 : 31,143.64 = 7,624.08 : x
  2. Step 2: Convert to fraction form
    20,774.76/31,143.64 = 7,624.08/x
  3. Step 3: Cross multiply
    20,774.76x = 31,143.64 × 7,624.08
  4. Step 4: Simplify right side
    20,774.76x = 237,441,602.85
  5. Step 5: Solve for x
    x = 237,441,602.85/20,774.76
  6. Step 6: Final answer
    x = 11,429.33

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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.