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Finding the Fourth Proportional to 17,811.50, 24,579.84 and 9,853.52

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Solution

The fourth proportional to 17,811.50, 24,579.84 and 9,853.52 is: 13,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811.50 : 24,579.84 = 9,853.52 : x
  2. Step 2: Convert to fraction form
    17,811.50/24,579.84 = 9,853.52/x
  3. Step 3: Cross multiply
    17,811.50x = 24,579.84 × 9,853.52
  4. Step 4: Simplify right side
    17,811.50x = 242,197,945.04
  5. Step 5: Solve for x
    x = 242,197,945.04/17,811.50
  6. Step 6: Final answer
    x = 13,597.84

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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.