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Finding the Fourth Proportional to 20,864.72, 31,277.60 and 7,004

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Solution

The fourth proportional to 20,864.72, 31,277.60 and 7,004 is: 10,499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,864.72 : 31,277.60 = 7,004 : x
  2. Step 2: Convert to fraction form
    20,864.72/31,277.60 = 7,004/x
  3. Step 3: Cross multiply
    20,864.72x = 31,277.60 × 7,004
  4. Step 4: Simplify right side
    20,864.72x = 219,068,310.40
  5. Step 5: Solve for x
    x = 219,068,310.40/20,864.72
  6. Step 6: Final answer
    x = 10,499.46

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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.