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Finding the Fourth Proportional to 20,224.96, 27,897.76 and 13,926.40

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Solution

The fourth proportional to 20,224.96, 27,897.76 and 13,926.40 is: 19,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.96 : 27,897.76 = 13,926.40 : x
  2. Step 2: Convert to fraction form
    20,224.96/27,897.76 = 13,926.40/x
  3. Step 3: Cross multiply
    20,224.96x = 27,897.76 × 13,926.40
  4. Step 4: Simplify right side
    20,224.96x = 388,515,364.86
  5. Step 5: Solve for x
    x = 388,515,364.86/20,224.96
  6. Step 6: Final answer
    x = 19,209.70

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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.