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Finding the Fourth Proportional to 17,600.41, 24,289.13 and 9,643.12

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Solution

The fourth proportional to 17,600.41, 24,289.13 and 9,643.12 is: 13,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,600.41 : 24,289.13 = 9,643.12 : x
  2. Step 2: Convert to fraction form
    17,600.41/24,289.13 = 9,643.12/x
  3. Step 3: Cross multiply
    17,600.41x = 24,289.13 × 9,643.12
  4. Step 4: Simplify right side
    17,600.41x = 234,222,995.29
  5. Step 5: Solve for x
    x = 234,222,995.29/17,600.41
  6. Step 6: Final answer
    x = 13,307.81

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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.