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Finding the Fourth Proportional to 14,466, 19,961.52 and 8,091.93

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Solution

The fourth proportional to 14,466, 19,961.52 and 8,091.93 is: 11,165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466 : 19,961.52 = 8,091.93 : x
  2. Step 2: Convert to fraction form
    14,466/19,961.52 = 8,091.93/x
  3. Step 3: Cross multiply
    14,466x = 19,961.52 × 8,091.93
  4. Step 4: Simplify right side
    14,466x = 161,527,222.53
  5. Step 5: Solve for x
    x = 161,527,222.53/14,466
  6. Step 6: Final answer
    x = 11,165.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.