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Finding the Fourth Proportional to 13,032.23, 17,983.38 and 7,366.68

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Solution

The fourth proportional to 13,032.23, 17,983.38 and 7,366.68 is: 10,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.23 : 17,983.38 = 7,366.68 : x
  2. Step 2: Convert to fraction form
    13,032.23/17,983.38 = 7,366.68/x
  3. Step 3: Cross multiply
    13,032.23x = 17,983.38 × 7,366.68
  4. Step 4: Simplify right side
    13,032.23x = 132,477,805.78
  5. Step 5: Solve for x
    x = 132,477,805.78/13,032.23
  6. Step 6: Final answer
    x = 10,165.40

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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.