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Finding the Fourth Proportional to 13,989.78, 19,295.82 and 9,505.71

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Solution

The fourth proportional to 13,989.78, 19,295.82 and 9,505.71 is: 13,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,989.78 : 19,295.82 = 9,505.71 : x
  2. Step 2: Convert to fraction form
    13,989.78/19,295.82 = 9,505.71/x
  3. Step 3: Cross multiply
    13,989.78x = 19,295.82 × 9,505.71
  4. Step 4: Simplify right side
    13,989.78x = 183,420,469.13
  5. Step 5: Solve for x
    x = 183,420,469.13/13,989.78
  6. Step 6: Final answer
    x = 13,111.03

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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.