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Finding the Fourth Proportional to 25,958.75, 35,823.09 and 14,022.08

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Solution

The fourth proportional to 25,958.75, 35,823.09 and 14,022.08 is: 19,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,958.75 : 35,823.09 = 14,022.08 : x
  2. Step 2: Convert to fraction form
    25,958.75/35,823.09 = 14,022.08/x
  3. Step 3: Cross multiply
    25,958.75x = 35,823.09 × 14,022.08
  4. Step 4: Simplify right side
    25,958.75x = 502,314,253.27
  5. Step 5: Solve for x
    x = 502,314,253.27/25,958.75
  6. Step 6: Final answer
    x = 19,350.48

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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.