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Finding the Fourth Proportional to 17,622.01, 24,318.68 and 9,664.16

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Solution

The fourth proportional to 17,622.01, 24,318.68 and 9,664.16 is: 13,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,622.01 : 24,318.68 = 9,664.16 : x
  2. Step 2: Convert to fraction form
    17,622.01/24,318.68 = 9,664.16/x
  3. Step 3: Cross multiply
    17,622.01x = 24,318.68 × 9,664.16
  4. Step 4: Simplify right side
    17,622.01x = 235,019,614.51
  5. Step 5: Solve for x
    x = 235,019,614.51/17,622.01
  6. Step 6: Final answer
    x = 13,336.71

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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.