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Finding the Fourth Proportional to 16,356.75, 22,572.80 and 8,905.23

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Solution

The fourth proportional to 16,356.75, 22,572.80 and 8,905.23 is: 12,289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356.75 : 22,572.80 = 8,905.23 : x
  2. Step 2: Convert to fraction form
    16,356.75/22,572.80 = 8,905.23/x
  3. Step 3: Cross multiply
    16,356.75x = 22,572.80 × 8,905.23
  4. Step 4: Simplify right side
    16,356.75x = 201,015,931.22
  5. Step 5: Solve for x
    x = 201,015,931.22/16,356.75
  6. Step 6: Final answer
    x = 12,289.48

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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.