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Finding the Fourth Proportional to 17,588.68, 24,271.38 and 9,629.32

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Solution

The fourth proportional to 17,588.68, 24,271.38 and 9,629.32 is: 13,287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,588.68 : 24,271.38 = 9,629.32 : x
  2. Step 2: Convert to fraction form
    17,588.68/24,271.38 = 9,629.32/x
  3. Step 3: Cross multiply
    17,588.68x = 24,271.38 × 9,629.32
  4. Step 4: Simplify right side
    17,588.68x = 233,716,884.86
  5. Step 5: Solve for x
    x = 233,716,884.86/17,588.68
  6. Step 6: Final answer
    x = 13,287.92

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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.