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Finding the Fourth Proportional to 14,894.25, 20,542.68 and 10,117.88

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Solution

The fourth proportional to 14,894.25, 20,542.68 and 10,117.88 is: 13,954.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894.25 : 20,542.68 = 10,117.88 : x
  2. Step 2: Convert to fraction form
    14,894.25/20,542.68 = 10,117.88/x
  3. Step 3: Cross multiply
    14,894.25x = 20,542.68 × 10,117.88
  4. Step 4: Simplify right side
    14,894.25x = 207,848,371.12
  5. Step 5: Solve for x
    x = 207,848,371.12/14,894.25
  6. Step 6: Final answer
    x = 13,954.94

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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.