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Finding the Fourth Proportional to 21,259.59, 31,891.55 and 5,678.31

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Solution

The fourth proportional to 21,259.59, 31,891.55 and 5,678.31 is: 8,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,259.59 : 31,891.55 = 5,678.31 : x
  2. Step 2: Convert to fraction form
    21,259.59/31,891.55 = 5,678.31/x
  3. Step 3: Cross multiply
    21,259.59x = 31,891.55 × 5,678.31
  4. Step 4: Simplify right side
    21,259.59x = 181,090,078.89
  5. Step 5: Solve for x
    x = 181,090,078.89/21,259.59
  6. Step 6: Final answer
    x = 8,518.04

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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.