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Finding the Fourth Proportional to 25,827, 35,641.26 and 14,649

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Solution

The fourth proportional to 25,827, 35,641.26 and 14,649 is: 20,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,827 : 35,641.26 = 14,649 : x
  2. Step 2: Convert to fraction form
    25,827/35,641.26 = 14,649/x
  3. Step 3: Cross multiply
    25,827x = 35,641.26 × 14,649
  4. Step 4: Simplify right side
    25,827x = 522,108,817.74
  5. Step 5: Solve for x
    x = 522,108,817.74/25,827
  6. Step 6: Final answer
    x = 20,215.62

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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.