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Finding the Fourth Proportional to 14,980.18, 22,472.70 and 4,589.50

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Solution

The fourth proportional to 14,980.18, 22,472.70 and 4,589.50 is: 6,884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,980.18 : 22,472.70 = 4,589.50 : x
  2. Step 2: Convert to fraction form
    14,980.18/22,472.70 = 4,589.50/x
  3. Step 3: Cross multiply
    14,980.18x = 22,472.70 × 4,589.50
  4. Step 4: Simplify right side
    14,980.18x = 103,138,456.65
  5. Step 5: Solve for x
    x = 103,138,456.65/14,980.18
  6. Step 6: Final answer
    x = 6,884.99

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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.