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Finding the Fourth Proportional to 19,593.20, 27,038.38 and 10,640.77

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Solution

The fourth proportional to 19,593.20, 27,038.38 and 10,640.77 is: 14,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,593.20 : 27,038.38 = 10,640.77 : x
  2. Step 2: Convert to fraction form
    19,593.20/27,038.38 = 10,640.77/x
  3. Step 3: Cross multiply
    19,593.20x = 27,038.38 × 10,640.77
  4. Step 4: Simplify right side
    19,593.20x = 287,709,088.55
  5. Step 5: Solve for x
    x = 287,709,088.55/19,593.20
  6. Step 6: Final answer
    x = 14,684.13

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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.