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Finding the Fourth Proportional to 22,959.21, 34,457.33 and 11,869.07

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Solution

The fourth proportional to 22,959.21, 34,457.33 and 11,869.07 is: 17,813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,959.21 : 34,457.33 = 11,869.07 : x
  2. Step 2: Convert to fraction form
    22,959.21/34,457.33 = 11,869.07/x
  3. Step 3: Cross multiply
    22,959.21x = 34,457.33 × 11,869.07
  4. Step 4: Simplify right side
    22,959.21x = 408,976,289.50
  5. Step 5: Solve for x
    x = 408,976,289.50/22,959.21
  6. Step 6: Final answer
    x = 17,813.17

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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.