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Finding the Fourth Proportional to 17,547.40, 24,234.75 and 16,448.41

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Solution

The fourth proportional to 17,547.40, 24,234.75 and 16,448.41 is: 22,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,547.40 : 24,234.75 = 16,448.41 : x
  2. Step 2: Convert to fraction form
    17,547.40/24,234.75 = 16,448.41/x
  3. Step 3: Cross multiply
    17,547.40x = 24,234.75 × 16,448.41
  4. Step 4: Simplify right side
    17,547.40x = 398,623,104.25
  5. Step 5: Solve for x
    x = 398,623,104.25/17,547.40
  6. Step 6: Final answer
    x = 22,716.93

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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.