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Finding the Fourth Proportional to 21,209.07, 31,803.48 and 7,877.82

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Solution

The fourth proportional to 21,209.07, 31,803.48 and 7,877.82 is: 11,812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,209.07 : 31,803.48 = 7,877.82 : x
  2. Step 2: Convert to fraction form
    21,209.07/31,803.48 = 7,877.82/x
  3. Step 3: Cross multiply
    21,209.07x = 31,803.48 × 7,877.82
  4. Step 4: Simplify right side
    21,209.07x = 250,542,090.81
  5. Step 5: Solve for x
    x = 250,542,090.81/21,209.07
  6. Step 6: Final answer
    x = 11,812.97

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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.