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Finding the Fourth Proportional to 25,874.30, 35,706.43 and 14,544.11

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Solution

The fourth proportional to 25,874.30, 35,706.43 and 14,544.11 is: 20,070.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,874.30 : 35,706.43 = 14,544.11 : x
  2. Step 2: Convert to fraction form
    25,874.30/35,706.43 = 14,544.11/x
  3. Step 3: Cross multiply
    25,874.30x = 35,706.43 × 14,544.11
  4. Step 4: Simplify right side
    25,874.30x = 519,318,245.63
  5. Step 5: Solve for x
    x = 519,318,245.63/25,874.30
  6. Step 6: Final answer
    x = 20,070.81

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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.