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Finding the Fourth Proportional to 13,097.63, 18,074.37 and 7,129.15

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Solution

The fourth proportional to 13,097.63, 18,074.37 and 7,129.15 is: 9,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.63 : 18,074.37 = 7,129.15 : x
  2. Step 2: Convert to fraction form
    13,097.63/18,074.37 = 7,129.15/x
  3. Step 3: Cross multiply
    13,097.63x = 18,074.37 × 7,129.15
  4. Step 4: Simplify right side
    13,097.63x = 128,854,876.43
  5. Step 5: Solve for x
    x = 128,854,876.43/13,097.63
  6. Step 6: Final answer
    x = 9,838.03

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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.