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Finding the Fourth Proportional to 17,411.42, 24,027.32 and 9,857.70

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Solution

The fourth proportional to 17,411.42, 24,027.32 and 9,857.70 is: 13,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,411.42 : 24,027.32 = 9,857.70 : x
  2. Step 2: Convert to fraction form
    17,411.42/24,027.32 = 9,857.70/x
  3. Step 3: Cross multiply
    17,411.42x = 24,027.32 × 9,857.70
  4. Step 4: Simplify right side
    17,411.42x = 236,854,137.01
  5. Step 5: Solve for x
    x = 236,854,137.01/17,411.42
  6. Step 6: Final answer
    x = 13,603.38

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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.