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Finding the Fourth Proportional to 21,259.62, 31,886.94 and 5,678.46

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Solution

The fourth proportional to 21,259.62, 31,886.94 and 5,678.46 is: 8,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,259.62 : 31,886.94 = 5,678.46 : x
  2. Step 2: Convert to fraction form
    21,259.62/31,886.94 = 5,678.46/x
  3. Step 3: Cross multiply
    21,259.62x = 31,886.94 × 5,678.46
  4. Step 4: Simplify right side
    21,259.62x = 181,068,713.31
  5. Step 5: Solve for x
    x = 181,068,713.31/21,259.62
  6. Step 6: Final answer
    x = 8,517.02

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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.