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Finding the Fourth Proportional to 25,361.78, 35,006.78 and 16,409.05

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Solution

The fourth proportional to 25,361.78, 35,006.78 and 16,409.05 is: 22,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,361.78 : 35,006.78 = 16,409.05 : x
  2. Step 2: Convert to fraction form
    25,361.78/35,006.78 = 16,409.05/x
  3. Step 3: Cross multiply
    25,361.78x = 35,006.78 × 16,409.05
  4. Step 4: Simplify right side
    25,361.78x = 574,427,956.86
  5. Step 5: Solve for x
    x = 574,427,956.86/25,361.78
  6. Step 6: Final answer
    x = 22,649.36

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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.