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Finding the Fourth Proportional to 18,362.34, 25,340.13 and 10,809

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Solution

The fourth proportional to 18,362.34, 25,340.13 and 10,809 is: 14,916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,362.34 : 25,340.13 = 10,809 : x
  2. Step 2: Convert to fraction form
    18,362.34/25,340.13 = 10,809/x
  3. Step 3: Cross multiply
    18,362.34x = 25,340.13 × 10,809
  4. Step 4: Simplify right side
    18,362.34x = 273,901,465.17
  5. Step 5: Solve for x
    x = 273,901,465.17/18,362.34
  6. Step 6: Final answer
    x = 14,916.48

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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.