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Finding the Fourth Proportional to 13,791.40, 19,032.86 and 10,428.44

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Solution

The fourth proportional to 13,791.40, 19,032.86 and 10,428.44 is: 14,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.40 : 19,032.86 = 10,428.44 : x
  2. Step 2: Convert to fraction form
    13,791.40/19,032.86 = 10,428.44/x
  3. Step 3: Cross multiply
    13,791.40x = 19,032.86 × 10,428.44
  4. Step 4: Simplify right side
    13,791.40x = 198,483,038.54
  5. Step 5: Solve for x
    x = 198,483,038.54/13,791.40
  6. Step 6: Final answer
    x = 14,391.80

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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.