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Finding the Fourth Proportional to 13,097.49, 18,074.63 and 7,129.17

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Solution

The fourth proportional to 13,097.49, 18,074.63 and 7,129.17 is: 9,838.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.49 : 18,074.63 = 7,129.17 : x
  2. Step 2: Convert to fraction form
    13,097.49/18,074.63 = 7,129.17/x
  3. Step 3: Cross multiply
    13,097.49x = 18,074.63 × 7,129.17
  4. Step 4: Simplify right side
    13,097.49x = 128,857,109.96
  5. Step 5: Solve for x
    x = 128,857,109.96/13,097.49
  6. Step 6: Final answer
    x = 9,838.31

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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.