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Finding the Fourth Proportional to 16,409.74, 22,645.47 and 8,957.74

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Solution

The fourth proportional to 16,409.74, 22,645.47 and 8,957.74 is: 12,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.74 : 22,645.47 = 8,957.74 : x
  2. Step 2: Convert to fraction form
    16,409.74/22,645.47 = 8,957.74/x
  3. Step 3: Cross multiply
    16,409.74x = 22,645.47 × 8,957.74
  4. Step 4: Simplify right side
    16,409.74x = 202,852,232.44
  5. Step 5: Solve for x
    x = 202,852,232.44/16,409.74
  6. Step 6: Final answer
    x = 12,361.70

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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.