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Finding the Fourth Proportional to 25,952.82, 35,823.77 and 16,137.77

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Solution

The fourth proportional to 25,952.82, 35,823.77 and 16,137.77 is: 22,275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,952.82 : 35,823.77 = 16,137.77 : x
  2. Step 2: Convert to fraction form
    25,952.82/35,823.77 = 16,137.77/x
  3. Step 3: Cross multiply
    25,952.82x = 35,823.77 × 16,137.77
  4. Step 4: Simplify right side
    25,952.82x = 578,115,500.99
  5. Step 5: Solve for x
    x = 578,115,500.99/25,952.82
  6. Step 6: Final answer
    x = 22,275.63

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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.