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Finding the Fourth Proportional to 16,891.78, 23,312.10 and 9,817.75

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Solution

The fourth proportional to 16,891.78, 23,312.10 and 9,817.75 is: 13,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,891.78 : 23,312.10 = 9,817.75 : x
  2. Step 2: Convert to fraction form
    16,891.78/23,312.10 = 9,817.75/x
  3. Step 3: Cross multiply
    16,891.78x = 23,312.10 × 9,817.75
  4. Step 4: Simplify right side
    16,891.78x = 228,872,369.78
  5. Step 5: Solve for x
    x = 228,872,369.78/16,891.78
  6. Step 6: Final answer
    x = 13,549.33

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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.