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Finding the Fourth Proportional to 27,968.50, 38,596.54 and 15,392.98

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Solution

The fourth proportional to 27,968.50, 38,596.54 and 15,392.98 is: 21,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,968.50 : 38,596.54 = 15,392.98 : x
  2. Step 2: Convert to fraction form
    27,968.50/38,596.54 = 15,392.98/x
  3. Step 3: Cross multiply
    27,968.50x = 38,596.54 × 15,392.98
  4. Step 4: Simplify right side
    27,968.50x = 594,115,768.29
  5. Step 5: Solve for x
    x = 594,115,768.29/27,968.50
  6. Step 6: Final answer
    x = 21,242.32

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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.