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Finding the Fourth Proportional to 25,412.34, 35,069.03 and 14,234.34

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Solution

The fourth proportional to 25,412.34, 35,069.03 and 14,234.34 is: 19,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,412.34 : 35,069.03 = 14,234.34 : x
  2. Step 2: Convert to fraction form
    25,412.34/35,069.03 = 14,234.34/x
  3. Step 3: Cross multiply
    25,412.34x = 35,069.03 × 14,234.34
  4. Step 4: Simplify right side
    25,412.34x = 499,184,249.97
  5. Step 5: Solve for x
    x = 499,184,249.97/25,412.34
  6. Step 6: Final answer
    x = 19,643.38

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1.5x scale

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.