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Finding the Fourth Proportional to 17,451.45, 24,083.53 and 9,897.39

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Solution

The fourth proportional to 17,451.45, 24,083.53 and 9,897.39 is: 13,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,451.45 : 24,083.53 = 9,897.39 : x
  2. Step 2: Convert to fraction form
    17,451.45/24,083.53 = 9,897.39/x
  3. Step 3: Cross multiply
    17,451.45x = 24,083.53 × 9,897.39
  4. Step 4: Simplify right side
    17,451.45x = 238,364,064.24
  5. Step 5: Solve for x
    x = 238,364,064.24/17,451.45
  6. Step 6: Final answer
    x = 13,658.70

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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.