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Finding the Fourth Proportional to 17,359, 26,042.94 and 5,047

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Solution

The fourth proportional to 17,359, 26,042.94 and 5,047 is: 7,571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,359 : 26,042.94 = 5,047 : x
  2. Step 2: Convert to fraction form
    17,359/26,042.94 = 5,047/x
  3. Step 3: Cross multiply
    17,359x = 26,042.94 × 5,047
  4. Step 4: Simplify right side
    17,359x = 131,438,718.18
  5. Step 5: Solve for x
    x = 131,438,718.18/17,359
  6. Step 6: Final answer
    x = 7,571.79

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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.