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Finding the Fourth Proportional to 22,612.09, 31,220.15 and 14,127.14

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Solution

The fourth proportional to 22,612.09, 31,220.15 and 14,127.14 is: 19,505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.09 : 31,220.15 = 14,127.14 : x
  2. Step 2: Convert to fraction form
    22,612.09/31,220.15 = 14,127.14/x
  3. Step 3: Cross multiply
    22,612.09x = 31,220.15 × 14,127.14
  4. Step 4: Simplify right side
    22,612.09x = 441,051,429.87
  5. Step 5: Solve for x
    x = 441,051,429.87/22,612.09
  6. Step 6: Final answer
    x = 19,505.12

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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.