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Finding the Fourth Proportional to 17,716.13, 24,448.28 and 9,649.80

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Solution

The fourth proportional to 17,716.13, 24,448.28 and 9,649.80 is: 13,316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716.13 : 24,448.28 = 9,649.80 : x
  2. Step 2: Convert to fraction form
    17,716.13/24,448.28 = 9,649.80/x
  3. Step 3: Cross multiply
    17,716.13x = 24,448.28 × 9,649.80
  4. Step 4: Simplify right side
    17,716.13x = 235,920,964.10
  5. Step 5: Solve for x
    x = 235,920,964.10/17,716.13
  6. Step 6: Final answer
    x = 13,316.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.