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Finding the Fourth Proportional to 19,307.25, 28,963.17 and 6,824.70

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Solution

The fourth proportional to 19,307.25, 28,963.17 and 6,824.70 is: 10,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,307.25 : 28,963.17 = 6,824.70 : x
  2. Step 2: Convert to fraction form
    19,307.25/28,963.17 = 6,824.70/x
  3. Step 3: Cross multiply
    19,307.25x = 28,963.17 × 6,824.70
  4. Step 4: Simplify right side
    19,307.25x = 197,664,946.30
  5. Step 5: Solve for x
    x = 197,664,946.30/19,307.25
  6. Step 6: Final answer
    x = 10,237.86

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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.