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Finding the Fourth Proportional to 17,641.73, 26,458.45 and 5,159.14

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Solution

The fourth proportional to 17,641.73, 26,458.45 and 5,159.14 is: 7,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.73 : 26,458.45 = 5,159.14 : x
  2. Step 2: Convert to fraction form
    17,641.73/26,458.45 = 5,159.14/x
  3. Step 3: Cross multiply
    17,641.73x = 26,458.45 × 5,159.14
  4. Step 4: Simplify right side
    17,641.73x = 136,502,847.73
  5. Step 5: Solve for x
    x = 136,502,847.73/17,641.73
  6. Step 6: Final answer
    x = 7,737.50

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Why These Related Problems?

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