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Finding the Fourth Proportional to 25,357.78, 34,981.94 and 16,408.17

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Solution

The fourth proportional to 25,357.78, 34,981.94 and 16,408.17 is: 22,635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,357.78 : 34,981.94 = 16,408.17 : x
  2. Step 2: Convert to fraction form
    25,357.78/34,981.94 = 16,408.17/x
  3. Step 3: Cross multiply
    25,357.78x = 34,981.94 × 16,408.17
  4. Step 4: Simplify right side
    25,357.78x = 573,989,618.45
  5. Step 5: Solve for x
    x = 573,989,618.45/25,357.78
  6. Step 6: Final answer
    x = 22,635.64

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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.