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Finding the Fourth Proportional to 25,952.50, 35,816.62 and 14,624.22

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Solution

The fourth proportional to 25,952.50, 35,816.62 and 14,624.22 is: 20,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,952.50 : 35,816.62 = 14,624.22 : x
  2. Step 2: Convert to fraction form
    25,952.50/35,816.62 = 14,624.22/x
  3. Step 3: Cross multiply
    25,952.50x = 35,816.62 × 14,624.22
  4. Step 4: Simplify right side
    25,952.50x = 523,790,130.54
  5. Step 5: Solve for x
    x = 523,790,130.54/25,952.50
  6. Step 6: Final answer
    x = 20,182.65

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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.