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Finding the Fourth Proportional to 14,061, 21,092.58 and 4,827

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Solution

The fourth proportional to 14,061, 21,092.58 and 4,827 is: 7,240.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,061 : 21,092.58 = 4,827 : x
  2. Step 2: Convert to fraction form
    14,061/21,092.58 = 4,827/x
  3. Step 3: Cross multiply
    14,061x = 21,092.58 × 4,827
  4. Step 4: Simplify right side
    14,061x = 101,813,883.66
  5. Step 5: Solve for x
    x = 101,813,883.66/14,061
  6. Step 6: Final answer
    x = 7,240.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.