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Finding the Fourth Proportional to 14,978.50, 22,467.75 and 4,034.50

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Solution

The fourth proportional to 14,978.50, 22,467.75 and 4,034.50 is: 6,051.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.50 : 22,467.75 = 4,034.50 : x
  2. Step 2: Convert to fraction form
    14,978.50/22,467.75 = 4,034.50/x
  3. Step 3: Cross multiply
    14,978.50x = 22,467.75 × 4,034.50
  4. Step 4: Simplify right side
    14,978.50x = 90,646,137.38
  5. Step 5: Solve for x
    x = 90,646,137.38/14,978.50
  6. Step 6: Final answer
    x = 6,051.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.