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Finding the Fourth Proportional to 21,622.14, 29,838.54 and 11,686.14

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Solution

The fourth proportional to 21,622.14, 29,838.54 and 11,686.14 is: 16,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.14 : 29,838.54 = 11,686.14 : x
  2. Step 2: Convert to fraction form
    21,622.14/29,838.54 = 11,686.14/x
  3. Step 3: Cross multiply
    21,622.14x = 29,838.54 × 11,686.14
  4. Step 4: Simplify right side
    21,622.14x = 348,697,355.84
  5. Step 5: Solve for x
    x = 348,697,355.84/21,622.14
  6. Step 6: Final answer
    x = 16,126.87

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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.