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Finding the Fourth Proportional to 20,948.98, 31,415.26 and 7,794.17

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Solution

The fourth proportional to 20,948.98, 31,415.26 and 7,794.17 is: 11,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,948.98 : 31,415.26 = 7,794.17 : x
  2. Step 2: Convert to fraction form
    20,948.98/31,415.26 = 7,794.17/x
  3. Step 3: Cross multiply
    20,948.98x = 31,415.26 × 7,794.17
  4. Step 4: Simplify right side
    20,948.98x = 244,855,838.06
  5. Step 5: Solve for x
    x = 244,855,838.06/20,948.98
  6. Step 6: Final answer
    x = 11,688.20

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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.