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Finding the Fourth Proportional to 14,978.24, 22,466.52 and 4,589.96

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Solution

The fourth proportional to 14,978.24, 22,466.52 and 4,589.96 is: 6,884.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.24 : 22,466.52 = 4,589.96 : x
  2. Step 2: Convert to fraction form
    14,978.24/22,466.52 = 4,589.96/x
  3. Step 3: Cross multiply
    14,978.24x = 22,466.52 × 4,589.96
  4. Step 4: Simplify right side
    14,978.24x = 103,120,428.14
  5. Step 5: Solve for x
    x = 103,120,428.14/14,978.24
  6. Step 6: Final answer
    x = 6,884.68

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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.