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Finding the Fourth Proportional to 14,592.78, 20,137.65 and 8,304.78

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Solution

The fourth proportional to 14,592.78, 20,137.65 and 8,304.78 is: 11,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,592.78 : 20,137.65 = 8,304.78 : x
  2. Step 2: Convert to fraction form
    14,592.78/20,137.65 = 8,304.78/x
  3. Step 3: Cross multiply
    14,592.78x = 20,137.65 × 8,304.78
  4. Step 4: Simplify right side
    14,592.78x = 167,238,752.97
  5. Step 5: Solve for x
    x = 167,238,752.97/14,592.78
  6. Step 6: Final answer
    x = 11,460.38

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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.