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Finding the Fourth Proportional to 25,448, 35,118.24 and 14,270

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Solution

The fourth proportional to 25,448, 35,118.24 and 14,270 is: 19,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,448 : 35,118.24 = 14,270 : x
  2. Step 2: Convert to fraction form
    25,448/35,118.24 = 14,270/x
  3. Step 3: Cross multiply
    25,448x = 35,118.24 × 14,270
  4. Step 4: Simplify right side
    25,448x = 501,137,284.80
  5. Step 5: Solve for x
    x = 501,137,284.80/25,448
  6. Step 6: Final answer
    x = 19,692.60

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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.