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Finding the Fourth Proportional to 17,827.22, 24,601.70 and 9,869.57

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Solution

The fourth proportional to 17,827.22, 24,601.70 and 9,869.57 is: 13,620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.22 : 24,601.70 = 9,869.57 : x
  2. Step 2: Convert to fraction form
    17,827.22/24,601.70 = 9,869.57/x
  3. Step 3: Cross multiply
    17,827.22x = 24,601.70 × 9,869.57
  4. Step 4: Simplify right side
    17,827.22x = 242,808,200.27
  5. Step 5: Solve for x
    x = 242,808,200.27/17,827.22
  6. Step 6: Final answer
    x = 13,620.08

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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.