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Finding the Fourth Proportional to 21,133.89, 31,675.56 and 9,874.08

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Solution

The fourth proportional to 21,133.89, 31,675.56 and 9,874.08 is: 14,799.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,133.89 : 31,675.56 = 9,874.08 : x
  2. Step 2: Convert to fraction form
    21,133.89/31,675.56 = 9,874.08/x
  3. Step 3: Cross multiply
    21,133.89x = 31,675.56 × 9,874.08
  4. Step 4: Simplify right side
    21,133.89x = 312,767,013.48
  5. Step 5: Solve for x
    x = 312,767,013.48/21,133.89
  6. Step 6: Final answer
    x = 14,799.31

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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.