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Finding the Fourth Proportional to 15,243.34, 22,802.64 and 11,517.88

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Solution

The fourth proportional to 15,243.34, 22,802.64 and 11,517.88 is: 17,229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,243.34 : 22,802.64 = 11,517.88 : x
  2. Step 2: Convert to fraction form
    15,243.34/22,802.64 = 11,517.88/x
  3. Step 3: Cross multiply
    15,243.34x = 22,802.64 × 11,517.88
  4. Step 4: Simplify right side
    15,243.34x = 262,638,071.20
  5. Step 5: Solve for x
    x = 262,638,071.20/15,243.34
  6. Step 6: Final answer
    x = 17,229.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.