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Finding the Fourth Proportional to 17,239, 25,863.53 and 6,146.58

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Solution

The fourth proportional to 17,239, 25,863.53 and 6,146.58 is: 9,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,239 : 25,863.53 = 6,146.58 : x
  2. Step 2: Convert to fraction form
    17,239/25,863.53 = 6,146.58/x
  3. Step 3: Cross multiply
    17,239x = 25,863.53 × 6,146.58
  4. Step 4: Simplify right side
    17,239x = 158,972,256.23
  5. Step 5: Solve for x
    x = 158,972,256.23/17,239
  6. Step 6: Final answer
    x = 9,221.66

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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.