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Finding the Fourth Proportional to 13,324.12, 18,386.99 and 7,274.15

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Solution

The fourth proportional to 13,324.12, 18,386.99 and 7,274.15 is: 10,038.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,324.12 : 18,386.99 = 7,274.15 : x
  2. Step 2: Convert to fraction form
    13,324.12/18,386.99 = 7,274.15/x
  3. Step 3: Cross multiply
    13,324.12x = 18,386.99 × 7,274.15
  4. Step 4: Simplify right side
    13,324.12x = 133,749,769.28
  5. Step 5: Solve for x
    x = 133,749,769.28/13,324.12
  6. Step 6: Final answer
    x = 10,038.17

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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.