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Finding the Fourth Proportional to 22,230.34, 30,684.09 and 12,802.66

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Solution

The fourth proportional to 22,230.34, 30,684.09 and 12,802.66 is: 17,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,230.34 : 30,684.09 = 12,802.66 : x
  2. Step 2: Convert to fraction form
    22,230.34/30,684.09 = 12,802.66/x
  3. Step 3: Cross multiply
    22,230.34x = 30,684.09 × 12,802.66
  4. Step 4: Simplify right side
    22,230.34x = 392,837,971.68
  5. Step 5: Solve for x
    x = 392,837,971.68/22,230.34
  6. Step 6: Final answer
    x = 17,671.25

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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.