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Finding the Fourth Proportional to 13,497.39, 18,626.76 and 7,530.22

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Solution

The fourth proportional to 13,497.39, 18,626.76 and 7,530.22 is: 10,391.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.39 : 18,626.76 = 7,530.22 : x
  2. Step 2: Convert to fraction form
    13,497.39/18,626.76 = 7,530.22/x
  3. Step 3: Cross multiply
    13,497.39x = 18,626.76 × 7,530.22
  4. Step 4: Simplify right side
    13,497.39x = 140,263,600.69
  5. Step 5: Solve for x
    x = 140,263,600.69/13,497.39
  6. Step 6: Final answer
    x = 10,391.91

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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.