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Finding the Fourth Proportional to 16,834.94, 23,232.32 and 9,662.94

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Solution

The fourth proportional to 16,834.94, 23,232.32 and 9,662.94 is: 13,334.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,834.94 : 23,232.32 = 9,662.94 : x
  2. Step 2: Convert to fraction form
    16,834.94/23,232.32 = 9,662.94/x
  3. Step 3: Cross multiply
    16,834.94x = 23,232.32 × 9,662.94
  4. Step 4: Simplify right side
    16,834.94x = 224,492,514.22
  5. Step 5: Solve for x
    x = 224,492,514.22/16,834.94
  6. Step 6: Final answer
    x = 13,334.92

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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.