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Finding the Fourth Proportional to 22,230.54, 30,676.70 and 12,802.14

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Solution

The fourth proportional to 22,230.54, 30,676.70 and 12,802.14 is: 17,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,230.54 : 30,676.70 = 12,802.14 : x
  2. Step 2: Convert to fraction form
    22,230.54/30,676.70 = 12,802.14/x
  3. Step 3: Cross multiply
    22,230.54x = 30,676.70 × 12,802.14
  4. Step 4: Simplify right side
    22,230.54x = 392,727,408.14
  5. Step 5: Solve for x
    x = 392,727,408.14/22,230.54
  6. Step 6: Final answer
    x = 17,666.12

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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.