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Finding the Fourth Proportional to 22,862.14, 31,529.22 and 14,365.06

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Solution

The fourth proportional to 22,862.14, 31,529.22 and 14,365.06 is: 19,810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.14 : 31,529.22 = 14,365.06 : x
  2. Step 2: Convert to fraction form
    22,862.14/31,529.22 = 14,365.06/x
  3. Step 3: Cross multiply
    22,862.14x = 31,529.22 × 14,365.06
  4. Step 4: Simplify right side
    22,862.14x = 452,919,137.05
  5. Step 5: Solve for x
    x = 452,919,137.05/22,862.14
  6. Step 6: Final answer
    x = 19,810.88

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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.