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Finding the Fourth Proportional to 25,584.26, 35,305.74 and 14,253.74

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Solution

The fourth proportional to 25,584.26, 35,305.74 and 14,253.74 is: 19,669.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,584.26 : 35,305.74 = 14,253.74 : x
  2. Step 2: Convert to fraction form
    25,584.26/35,305.74 = 14,253.74/x
  3. Step 3: Cross multiply
    25,584.26x = 35,305.74 × 14,253.74
  4. Step 4: Simplify right side
    25,584.26x = 503,238,661.94
  5. Step 5: Solve for x
    x = 503,238,661.94/25,584.26
  6. Step 6: Final answer
    x = 19,669.86

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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.