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Finding the Fourth Proportional to 21,004.86, 31,490.28 and 7,855.32

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Solution

The fourth proportional to 21,004.86, 31,490.28 and 7,855.32 is: 11,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,004.86 : 31,490.28 = 7,855.32 : x
  2. Step 2: Convert to fraction form
    21,004.86/31,490.28 = 7,855.32/x
  3. Step 3: Cross multiply
    21,004.86x = 31,490.28 × 7,855.32
  4. Step 4: Simplify right side
    21,004.86x = 247,366,226.29
  5. Step 5: Solve for x
    x = 247,366,226.29/21,004.86
  6. Step 6: Final answer
    x = 11,776.62

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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.