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Finding the Fourth Proportional to 29,726.16, 41,021.84 and 16,297.17

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Solution

The fourth proportional to 29,726.16, 41,021.84 and 16,297.17 is: 22,489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,726.16 : 41,021.84 = 16,297.17 : x
  2. Step 2: Convert to fraction form
    29,726.16/41,021.84 = 16,297.17/x
  3. Step 3: Cross multiply
    29,726.16x = 41,021.84 × 16,297.17
  4. Step 4: Simplify right side
    29,726.16x = 668,539,818.71
  5. Step 5: Solve for x
    x = 668,539,818.71/29,726.16
  6. Step 6: Final answer
    x = 22,489.95

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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.