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Finding the Fourth Proportional to 17,816.78, 24,588.63 and 9,861.57

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Solution

The fourth proportional to 17,816.78, 24,588.63 and 9,861.57 is: 13,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,816.78 : 24,588.63 = 9,861.57 : x
  2. Step 2: Convert to fraction form
    17,816.78/24,588.63 = 9,861.57/x
  3. Step 3: Cross multiply
    17,816.78x = 24,588.63 × 9,861.57
  4. Step 4: Simplify right side
    17,816.78x = 242,482,495.95
  5. Step 5: Solve for x
    x = 242,482,495.95/17,816.78
  6. Step 6: Final answer
    x = 13,609.78

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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.