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Finding the Fourth Proportional to 13,342.23, 18,398.43 and 11,460

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Solution

The fourth proportional to 13,342.23, 18,398.43 and 11,460 is: 15,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,342.23 : 18,398.43 = 11,460 : x
  2. Step 2: Convert to fraction form
    13,342.23/18,398.43 = 11,460/x
  3. Step 3: Cross multiply
    13,342.23x = 18,398.43 × 11,460
  4. Step 4: Simplify right side
    13,342.23x = 210,846,007.80
  5. Step 5: Solve for x
    x = 210,846,007.80/13,342.23
  6. Step 6: Final answer
    x = 15,802.91

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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.