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Finding the Fourth Proportional to 13,219.38, 18,243.32 and 7,913.17

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Solution

The fourth proportional to 13,219.38, 18,243.32 and 7,913.17 is: 10,920.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.38 : 18,243.32 = 7,913.17 : x
  2. Step 2: Convert to fraction form
    13,219.38/18,243.32 = 7,913.17/x
  3. Step 3: Cross multiply
    13,219.38x = 18,243.32 × 7,913.17
  4. Step 4: Simplify right side
    13,219.38x = 144,362,475.76
  5. Step 5: Solve for x
    x = 144,362,475.76/13,219.38
  6. Step 6: Final answer
    x = 10,920.52

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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.