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Finding the Fourth Proportional to 17,058.47, 25,584.63 and 7,204.68

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Solution

The fourth proportional to 17,058.47, 25,584.63 and 7,204.68 is: 10,805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,058.47 : 25,584.63 = 7,204.68 : x
  2. Step 2: Convert to fraction form
    17,058.47/25,584.63 = 7,204.68/x
  3. Step 3: Cross multiply
    17,058.47x = 25,584.63 × 7,204.68
  4. Step 4: Simplify right side
    17,058.47x = 184,329,045.05
  5. Step 5: Solve for x
    x = 184,329,045.05/17,058.47
  6. Step 6: Final answer
    x = 10,805.72

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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.