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Finding the Fourth Proportional to 14,465.85, 19,961.16 and 8,092.77

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Solution

The fourth proportional to 14,465.85, 19,961.16 and 8,092.77 is: 11,167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.85 : 19,961.16 = 8,092.77 : x
  2. Step 2: Convert to fraction form
    14,465.85/19,961.16 = 8,092.77/x
  3. Step 3: Cross multiply
    14,465.85x = 19,961.16 × 8,092.77
  4. Step 4: Simplify right side
    14,465.85x = 161,541,076.81
  5. Step 5: Solve for x
    x = 161,541,076.81/14,465.85
  6. Step 6: Final answer
    x = 11,167.06

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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.