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Finding the Fourth Proportional to 13,791.76, 19,032.68 and 7,504.16

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Solution

The fourth proportional to 13,791.76, 19,032.68 and 7,504.16 is: 10,355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.76 : 19,032.68 = 7,504.16 : x
  2. Step 2: Convert to fraction form
    13,791.76/19,032.68 = 7,504.16/x
  3. Step 3: Cross multiply
    13,791.76x = 19,032.68 × 7,504.16
  4. Step 4: Simplify right side
    13,791.76x = 142,824,275.95
  5. Step 5: Solve for x
    x = 142,824,275.95/13,791.76
  6. Step 6: Final answer
    x = 10,355.77

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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.