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Finding the Fourth Proportional to 16,924.64, 23,355.92 and 9,472.64

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Solution

The fourth proportional to 16,924.64, 23,355.92 and 9,472.64 is: 13,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,924.64 : 23,355.92 = 9,472.64 : x
  2. Step 2: Convert to fraction form
    16,924.64/23,355.92 = 9,472.64/x
  3. Step 3: Cross multiply
    16,924.64x = 23,355.92 × 9,472.64
  4. Step 4: Simplify right side
    16,924.64x = 221,242,222.03
  5. Step 5: Solve for x
    x = 221,242,222.03/16,924.64
  6. Step 6: Final answer
    x = 13,072.20

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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.