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Finding the Fourth Proportional to 24,980.25, 34,472.10 and 13,649.79

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Solution

The fourth proportional to 24,980.25, 34,472.10 and 13,649.79 is: 18,836.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,980.25 : 34,472.10 = 13,649.79 : x
  2. Step 2: Convert to fraction form
    24,980.25/34,472.10 = 13,649.79/x
  3. Step 3: Cross multiply
    24,980.25x = 34,472.10 × 13,649.79
  4. Step 4: Simplify right side
    24,980.25x = 470,536,925.86
  5. Step 5: Solve for x
    x = 470,536,925.86/24,980.25
  6. Step 6: Final answer
    x = 18,836.36

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