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Finding the Fourth Proportional to 17,675.16, 24,390.54 and 9,717

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Solution

The fourth proportional to 17,675.16, 24,390.54 and 9,717 is: 13,408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,675.16 : 24,390.54 = 9,717 : x
  2. Step 2: Convert to fraction form
    17,675.16/24,390.54 = 9,717/x
  3. Step 3: Cross multiply
    17,675.16x = 24,390.54 × 9,717
  4. Step 4: Simplify right side
    17,675.16x = 237,002,877.18
  5. Step 5: Solve for x
    x = 237,002,877.18/17,675.16
  6. Step 6: Final answer
    x = 13,408.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.