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Finding the Fourth Proportional to 25,653.92, 35,412 and 19,977.44

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Solution

The fourth proportional to 25,653.92, 35,412 and 19,977.44 is: 27,576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,653.92 : 35,412 = 19,977.44 : x
  2. Step 2: Convert to fraction form
    25,653.92/35,412 = 19,977.44/x
  3. Step 3: Cross multiply
    25,653.92x = 35,412 × 19,977.44
  4. Step 4: Simplify right side
    25,653.92x = 707,441,105.28
  5. Step 5: Solve for x
    x = 707,441,105.28/25,653.92
  6. Step 6: Final answer
    x = 27,576.34

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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.