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Finding the Fourth Proportional to 13,378.73, 18,445.13 and 11,510.38

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Solution

The fourth proportional to 13,378.73, 18,445.13 and 11,510.38 is: 15,869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.73 : 18,445.13 = 11,510.38 : x
  2. Step 2: Convert to fraction form
    13,378.73/18,445.13 = 11,510.38/x
  3. Step 3: Cross multiply
    13,378.73x = 18,445.13 × 11,510.38
  4. Step 4: Simplify right side
    13,378.73x = 212,310,425.11
  5. Step 5: Solve for x
    x = 212,310,425.11/13,378.73
  6. Step 6: Final answer
    x = 15,869.26

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Why These Related Problems?

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