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Finding the Fourth Proportional to 22,726.44, 31,356.18 and 14,656.68

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Solution

The fourth proportional to 22,726.44, 31,356.18 and 14,656.68 is: 20,222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,726.44 : 31,356.18 = 14,656.68 : x
  2. Step 2: Convert to fraction form
    22,726.44/31,356.18 = 14,656.68/x
  3. Step 3: Cross multiply
    22,726.44x = 31,356.18 × 14,656.68
  4. Step 4: Simplify right side
    22,726.44x = 459,577,496.28
  5. Step 5: Solve for x
    x = 459,577,496.28/22,726.44
  6. Step 6: Final answer
    x = 20,222.15

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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.