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Finding the Fourth Proportional to 13,838.60, 19,097.22 and 7,550.98

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Solution

The fourth proportional to 13,838.60, 19,097.22 and 7,550.98 is: 10,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.60 : 19,097.22 = 7,550.98 : x
  2. Step 2: Convert to fraction form
    13,838.60/19,097.22 = 7,550.98/x
  3. Step 3: Cross multiply
    13,838.60x = 19,097.22 × 7,550.98
  4. Step 4: Simplify right side
    13,838.60x = 144,202,726.28
  5. Step 5: Solve for x
    x = 144,202,726.28/13,838.60
  6. Step 6: Final answer
    x = 10,420.33

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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.