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Finding the Fourth Proportional to 14,297.50, 21,447.74 and 3,909.26

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Solution

The fourth proportional to 14,297.50, 21,447.74 and 3,909.26 is: 5,864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.50 : 21,447.74 = 3,909.26 : x
  2. Step 2: Convert to fraction form
    14,297.50/21,447.74 = 3,909.26/x
  3. Step 3: Cross multiply
    14,297.50x = 21,447.74 × 3,909.26
  4. Step 4: Simplify right side
    14,297.50x = 83,844,792.07
  5. Step 5: Solve for x
    x = 83,844,792.07/14,297.50
  6. Step 6: Final answer
    x = 5,864.30

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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.