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Finding the Fourth Proportional to 16,980.96, 23,421.24 and 9,906.96

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Solution

The fourth proportional to 16,980.96, 23,421.24 and 9,906.96 is: 13,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,980.96 : 23,421.24 = 9,906.96 : x
  2. Step 2: Convert to fraction form
    16,980.96/23,421.24 = 9,906.96/x
  3. Step 3: Cross multiply
    16,980.96x = 23,421.24 × 9,906.96
  4. Step 4: Simplify right side
    16,980.96x = 232,033,287.83
  5. Step 5: Solve for x
    x = 232,033,287.83/16,980.96
  6. Step 6: Final answer
    x = 13,664.32

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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.