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Finding the Fourth Proportional to 22,457.80, 30,990.33 and 12,386.31

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Solution

The fourth proportional to 22,457.80, 30,990.33 and 12,386.31 is: 17,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.80 : 30,990.33 = 12,386.31 : x
  2. Step 2: Convert to fraction form
    22,457.80/30,990.33 = 12,386.31/x
  3. Step 3: Cross multiply
    22,457.80x = 30,990.33 × 12,386.31
  4. Step 4: Simplify right side
    22,457.80x = 383,855,834.38
  5. Step 5: Solve for x
    x = 383,855,834.38/22,457.80
  6. Step 6: Final answer
    x = 17,092.32

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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.