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Finding the Fourth Proportional to 21,141.84, 31,713.40 and 6,350.80

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Solution

The fourth proportional to 21,141.84, 31,713.40 and 6,350.80 is: 9,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,141.84 : 31,713.40 = 6,350.80 : x
  2. Step 2: Convert to fraction form
    21,141.84/31,713.40 = 6,350.80/x
  3. Step 3: Cross multiply
    21,141.84x = 31,713.40 × 6,350.80
  4. Step 4: Simplify right side
    21,141.84x = 201,405,460.72
  5. Step 5: Solve for x
    x = 201,405,460.72/21,141.84
  6. Step 6: Final answer
    x = 9,526.39

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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.