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Finding the Fourth Proportional to 27,638.32, 38,141.32 and 15,702

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Solution

The fourth proportional to 27,638.32, 38,141.32 and 15,702 is: 21,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.32 : 38,141.32 = 15,702 : x
  2. Step 2: Convert to fraction form
    27,638.32/38,141.32 = 15,702/x
  3. Step 3: Cross multiply
    27,638.32x = 38,141.32 × 15,702
  4. Step 4: Simplify right side
    27,638.32x = 598,895,006.64
  5. Step 5: Solve for x
    x = 598,895,006.64/27,638.32
  6. Step 6: Final answer
    x = 21,669.01

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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.