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Finding the Fourth Proportional to 29,792.66, 41,114.21 and 16,364.23

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Solution

The fourth proportional to 29,792.66, 41,114.21 and 16,364.23 is: 22,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,792.66 : 41,114.21 = 16,364.23 : x
  2. Step 2: Convert to fraction form
    29,792.66/41,114.21 = 16,364.23/x
  3. Step 3: Cross multiply
    29,792.66x = 41,114.21 × 16,364.23
  4. Step 4: Simplify right side
    29,792.66x = 672,802,388.71
  5. Step 5: Solve for x
    x = 672,802,388.71/29,792.66
  6. Step 6: Final answer
    x = 22,582.82

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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.