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Finding the Fourth Proportional to 29,827.57, 41,162.32 and 16,398.91

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Solution

The fourth proportional to 29,827.57, 41,162.32 and 16,398.91 is: 22,630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,827.57 : 41,162.32 = 16,398.91 : x
  2. Step 2: Convert to fraction form
    29,827.57/41,162.32 = 16,398.91/x
  3. Step 3: Cross multiply
    29,827.57x = 41,162.32 × 16,398.91
  4. Step 4: Simplify right side
    29,827.57x = 675,017,322.67
  5. Step 5: Solve for x
    x = 675,017,322.67/29,827.57
  6. Step 6: Final answer
    x = 22,630.65

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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.