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Finding the Fourth Proportional to 17,797.12, 24,557.86 and 9,838.24

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Solution

The fourth proportional to 17,797.12, 24,557.86 and 9,838.24 is: 13,575.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,797.12 : 24,557.86 = 9,838.24 : x
  2. Step 2: Convert to fraction form
    17,797.12/24,557.86 = 9,838.24/x
  3. Step 3: Cross multiply
    17,797.12x = 24,557.86 × 9,838.24
  4. Step 4: Simplify right side
    17,797.12x = 241,606,083.77
  5. Step 5: Solve for x
    x = 241,606,083.77/17,797.12
  6. Step 6: Final answer
    x = 13,575.57

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