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Finding the Fourth Proportional to 12,963.66, 19,445.94 and 7,414.45

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Solution

The fourth proportional to 12,963.66, 19,445.94 and 7,414.45 is: 11,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.66 : 19,445.94 = 7,414.45 : x
  2. Step 2: Convert to fraction form
    12,963.66/19,445.94 = 7,414.45/x
  3. Step 3: Cross multiply
    12,963.66x = 19,445.94 × 7,414.45
  4. Step 4: Simplify right side
    12,963.66x = 144,180,901.22
  5. Step 5: Solve for x
    x = 144,180,901.22/12,963.66
  6. Step 6: Final answer
    x = 11,121.93

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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.