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Finding the Fourth Proportional to 24,690.92, 37,021.26 and 13,009.64

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Solution

The fourth proportional to 24,690.92, 37,021.26 and 13,009.64 is: 19,506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,690.92 : 37,021.26 = 13,009.64 : x
  2. Step 2: Convert to fraction form
    24,690.92/37,021.26 = 13,009.64/x
  3. Step 3: Cross multiply
    24,690.92x = 37,021.26 × 13,009.64
  4. Step 4: Simplify right side
    24,690.92x = 481,633,264.95
  5. Step 5: Solve for x
    x = 481,633,264.95/24,690.92
  6. Step 6: Final answer
    x = 19,506.49

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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.