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Finding the Fourth Proportional to 17,646.42, 26,480.10 and 7,121.49

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Solution

The fourth proportional to 17,646.42, 26,480.10 and 7,121.49 is: 10,686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.42 : 26,480.10 = 7,121.49 : x
  2. Step 2: Convert to fraction form
    17,646.42/26,480.10 = 7,121.49/x
  3. Step 3: Cross multiply
    17,646.42x = 26,480.10 × 7,121.49
  4. Step 4: Simplify right side
    17,646.42x = 188,577,767.35
  5. Step 5: Solve for x
    x = 188,577,767.35/17,646.42
  6. Step 6: Final answer
    x = 10,686.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.