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Finding the Fourth Proportional to 16,876.17, 23,291.96 and 9,806.68

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Solution

The fourth proportional to 16,876.17, 23,291.96 and 9,806.68 is: 13,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876.17 : 23,291.96 = 9,806.68 : x
  2. Step 2: Convert to fraction form
    16,876.17/23,291.96 = 9,806.68/x
  3. Step 3: Cross multiply
    16,876.17x = 23,291.96 × 9,806.68
  4. Step 4: Simplify right side
    16,876.17x = 228,416,798.29
  5. Step 5: Solve for x
    x = 228,416,798.29/16,876.17
  6. Step 6: Final answer
    x = 13,534.87

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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.