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Finding the Fourth Proportional to 27,967.88, 38,596.50 and 15,392.63

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Solution

The fourth proportional to 27,967.88, 38,596.50 and 15,392.63 is: 21,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,967.88 : 38,596.50 = 15,392.63 : x
  2. Step 2: Convert to fraction form
    27,967.88/38,596.50 = 15,392.63/x
  3. Step 3: Cross multiply
    27,967.88x = 38,596.50 × 15,392.63
  4. Step 4: Simplify right side
    27,967.88x = 594,101,450.81
  5. Step 5: Solve for x
    x = 594,101,450.81/27,967.88
  6. Step 6: Final answer
    x = 21,242.28

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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.