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Finding the Fourth Proportional to 16,922.64, 23,353.16 and 9,470.64

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Solution

The fourth proportional to 16,922.64, 23,353.16 and 9,470.64 is: 13,069.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,922.64 : 23,353.16 = 9,470.64 : x
  2. Step 2: Convert to fraction form
    16,922.64/23,353.16 = 9,470.64/x
  3. Step 3: Cross multiply
    16,922.64x = 23,353.16 × 9,470.64
  4. Step 4: Simplify right side
    16,922.64x = 221,169,371.22
  5. Step 5: Solve for x
    x = 221,169,371.22/16,922.64
  6. Step 6: Final answer
    x = 13,069.44

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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.