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Finding the Fourth Proportional to 22,726.36, 31,366.22 and 14,657.76

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Solution

The fourth proportional to 22,726.36, 31,366.22 and 14,657.76 is: 20,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,726.36 : 31,366.22 = 14,657.76 : x
  2. Step 2: Convert to fraction form
    22,726.36/31,366.22 = 14,657.76/x
  3. Step 3: Cross multiply
    22,726.36x = 31,366.22 × 14,657.76
  4. Step 4: Simplify right side
    22,726.36x = 459,758,524.87
  5. Step 5: Solve for x
    x = 459,758,524.87/22,726.36
  6. Step 6: Final answer
    x = 20,230.19

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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.