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Finding the Fourth Proportional to 22,614.63, 31,172.13 and 17,826.77

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Solution

The fourth proportional to 22,614.63, 31,172.13 and 17,826.77 is: 24,572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614.63 : 31,172.13 = 17,826.77 : x
  2. Step 2: Convert to fraction form
    22,614.63/31,172.13 = 17,826.77/x
  3. Step 3: Cross multiply
    22,614.63x = 31,172.13 × 17,826.77
  4. Step 4: Simplify right side
    22,614.63x = 555,698,236.06
  5. Step 5: Solve for x
    x = 555,698,236.06/22,614.63
  6. Step 6: Final answer
    x = 24,572.51

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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.