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Finding the Fourth Proportional to 25,704.92, 35,472.08 and 14,374.44

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Solution

The fourth proportional to 25,704.92, 35,472.08 and 14,374.44 is: 19,836.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,704.92 : 35,472.08 = 14,374.44 : x
  2. Step 2: Convert to fraction form
    25,704.92/35,472.08 = 14,374.44/x
  3. Step 3: Cross multiply
    25,704.92x = 35,472.08 × 14,374.44
  4. Step 4: Simplify right side
    25,704.92x = 509,891,285.64
  5. Step 5: Solve for x
    x = 509,891,285.64/25,704.92
  6. Step 6: Final answer
    x = 19,836.33

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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.