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Finding the Fourth Proportional to 17,802.84, 24,567.13 and 9,736.28

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Solution

The fourth proportional to 17,802.84, 24,567.13 and 9,736.28 is: 13,435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.84 : 24,567.13 = 9,736.28 : x
  2. Step 2: Convert to fraction form
    17,802.84/24,567.13 = 9,736.28/x
  3. Step 3: Cross multiply
    17,802.84x = 24,567.13 × 9,736.28
  4. Step 4: Simplify right side
    17,802.84x = 239,192,456.48
  5. Step 5: Solve for x
    x = 239,192,456.48/17,802.84
  6. Step 6: Final answer
    x = 13,435.63

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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.