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Finding the Fourth Proportional to 14,978.06, 22,467.10 and 4,589.81

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Solution

The fourth proportional to 14,978.06, 22,467.10 and 4,589.81 is: 6,884.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.06 : 22,467.10 = 4,589.81 : x
  2. Step 2: Convert to fraction form
    14,978.06/22,467.10 = 4,589.81/x
  3. Step 3: Cross multiply
    14,978.06x = 22,467.10 × 4,589.81
  4. Step 4: Simplify right side
    14,978.06x = 103,119,764.94
  5. Step 5: Solve for x
    x = 103,119,764.94/14,978.06
  6. Step 6: Final answer
    x = 6,884.72

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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.