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Finding the Fourth Proportional to 21,230.06, 31,853.73 and 9,548.78

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Solution

The fourth proportional to 21,230.06, 31,853.73 and 9,548.78 is: 14,327.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,230.06 : 31,853.73 = 9,548.78 : x
  2. Step 2: Convert to fraction form
    21,230.06/31,853.73 = 9,548.78/x
  3. Step 3: Cross multiply
    21,230.06x = 31,853.73 × 9,548.78
  4. Step 4: Simplify right side
    21,230.06x = 304,164,259.95
  5. Step 5: Solve for x
    x = 304,164,259.95/21,230.06
  6. Step 6: Final answer
    x = 14,327.06

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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.