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Finding the Fourth Proportional to 21,007.62, 31,500.50 and 6,214.59

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Solution

The fourth proportional to 21,007.62, 31,500.50 and 6,214.59 is: 9,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.62 : 31,500.50 = 6,214.59 : x
  2. Step 2: Convert to fraction form
    21,007.62/31,500.50 = 6,214.59/x
  3. Step 3: Cross multiply
    21,007.62x = 31,500.50 × 6,214.59
  4. Step 4: Simplify right side
    21,007.62x = 195,762,661.22
  5. Step 5: Solve for x
    x = 195,762,661.22/21,007.62
  6. Step 6: Final answer
    x = 9,318.65

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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.