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Finding the Fourth Proportional to 13,488.39, 18,613.60 and 7,822.78

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Solution

The fourth proportional to 13,488.39, 18,613.60 and 7,822.78 is: 10,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.39 : 18,613.60 = 7,822.78 : x
  2. Step 2: Convert to fraction form
    13,488.39/18,613.60 = 7,822.78/x
  3. Step 3: Cross multiply
    13,488.39x = 18,613.60 × 7,822.78
  4. Step 4: Simplify right side
    13,488.39x = 145,610,031.72
  5. Step 5: Solve for x
    x = 145,610,031.72/13,488.39
  6. Step 6: Final answer
    x = 10,795.22

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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.