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Finding the Fourth Proportional to 24,606.50, 36,909.75 and 7,980.44

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Solution

The fourth proportional to 24,606.50, 36,909.75 and 7,980.44 is: 11,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,606.50 : 36,909.75 = 7,980.44 : x
  2. Step 2: Convert to fraction form
    24,606.50/36,909.75 = 7,980.44/x
  3. Step 3: Cross multiply
    24,606.50x = 36,909.75 × 7,980.44
  4. Step 4: Simplify right side
    24,606.50x = 294,556,045.29
  5. Step 5: Solve for x
    x = 294,556,045.29/24,606.50
  6. Step 6: Final answer
    x = 11,970.66

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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.