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Finding the Fourth Proportional to 19,884.50, 27,411.68 and 13,897.58

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Solution

The fourth proportional to 19,884.50, 27,411.68 and 13,897.58 is: 19,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884.50 : 27,411.68 = 13,897.58 : x
  2. Step 2: Convert to fraction form
    19,884.50/27,411.68 = 13,897.58/x
  3. Step 3: Cross multiply
    19,884.50x = 27,411.68 × 13,897.58
  4. Step 4: Simplify right side
    19,884.50x = 380,956,015.73
  5. Step 5: Solve for x
    x = 380,956,015.73/19,884.50
  6. Step 6: Final answer
    x = 19,158.44

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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.