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Finding the Fourth Proportional to 17,852.11, 24,635.52 and 9,894.26

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Solution

The fourth proportional to 17,852.11, 24,635.52 and 9,894.26 is: 13,653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.11 : 24,635.52 = 9,894.26 : x
  2. Step 2: Convert to fraction form
    17,852.11/24,635.52 = 9,894.26/x
  3. Step 3: Cross multiply
    17,852.11x = 24,635.52 × 9,894.26
  4. Step 4: Simplify right side
    17,852.11x = 243,750,301.70
  5. Step 5: Solve for x
    x = 243,750,301.70/17,852.11
  6. Step 6: Final answer
    x = 13,653.87

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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.