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Finding the Fourth Proportional to 21,813.24, 30,102.54 and 11,877.24

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Solution

The fourth proportional to 21,813.24, 30,102.54 and 11,877.24 is: 16,390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,813.24 : 30,102.54 = 11,877.24 : x
  2. Step 2: Convert to fraction form
    21,813.24/30,102.54 = 11,877.24/x
  3. Step 3: Cross multiply
    21,813.24x = 30,102.54 × 11,877.24
  4. Step 4: Simplify right side
    21,813.24x = 357,535,092.19
  5. Step 5: Solve for x
    x = 357,535,092.19/21,813.24
  6. Step 6: Final answer
    x = 16,390.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.