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Finding the Fourth Proportional to 24,980.40, 34,472.49 and 13,649.63

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Solution

The fourth proportional to 24,980.40, 34,472.49 and 13,649.63 is: 18,836.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,980.40 : 34,472.49 = 13,649.63 : x
  2. Step 2: Convert to fraction form
    24,980.40/34,472.49 = 13,649.63/x
  3. Step 3: Cross multiply
    24,980.40x = 34,472.49 × 13,649.63
  4. Step 4: Simplify right side
    24,980.40x = 470,536,561.32
  5. Step 5: Solve for x
    x = 470,536,561.32/24,980.40
  6. Step 6: Final answer
    x = 18,836.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.