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Finding the Fourth Proportional to 13,097.06, 18,073.39 and 7,128.74

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Solution

The fourth proportional to 13,097.06, 18,073.39 and 7,128.74 is: 9,837.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.06 : 18,073.39 = 7,128.74 : x
  2. Step 2: Convert to fraction form
    13,097.06/18,073.39 = 7,128.74/x
  3. Step 3: Cross multiply
    13,097.06x = 18,073.39 × 7,128.74
  4. Step 4: Simplify right side
    13,097.06x = 128,840,498.23
  5. Step 5: Solve for x
    x = 128,840,498.23/13,097.06
  6. Step 6: Final answer
    x = 9,837.36

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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.