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Finding the Fourth Proportional to 16,884.83, 23,302.89 and 9,715.07

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Solution

The fourth proportional to 16,884.83, 23,302.89 and 9,715.07 is: 13,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,884.83 : 23,302.89 = 9,715.07 : x
  2. Step 2: Convert to fraction form
    16,884.83/23,302.89 = 9,715.07/x
  3. Step 3: Cross multiply
    16,884.83x = 23,302.89 × 9,715.07
  4. Step 4: Simplify right side
    16,884.83x = 226,389,265.81
  5. Step 5: Solve for x
    x = 226,389,265.81/16,884.83
  6. Step 6: Final answer
    x = 13,407.85

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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.