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Finding the Fourth Proportional to 17,641.94, 24,344.35 and 10,085.85

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Solution

The fourth proportional to 17,641.94, 24,344.35 and 10,085.85 is: 13,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.94 : 24,344.35 = 10,085.85 : x
  2. Step 2: Convert to fraction form
    17,641.94/24,344.35 = 10,085.85/x
  3. Step 3: Cross multiply
    17,641.94x = 24,344.35 × 10,085.85
  4. Step 4: Simplify right side
    17,641.94x = 245,533,437.23
  5. Step 5: Solve for x
    x = 245,533,437.23/17,641.94
  6. Step 6: Final answer
    x = 13,917.60

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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.