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Finding the Fourth Proportional to 29,828.98, 41,162.40 and 16,397.64

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Solution

The fourth proportional to 29,828.98, 41,162.40 and 16,397.64 is: 22,627.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,828.98 : 41,162.40 = 16,397.64 : x
  2. Step 2: Convert to fraction form
    29,828.98/41,162.40 = 16,397.64/x
  3. Step 3: Cross multiply
    29,828.98x = 41,162.40 × 16,397.64
  4. Step 4: Simplify right side
    29,828.98x = 674,966,216.74
  5. Step 5: Solve for x
    x = 674,966,216.74/29,828.98
  6. Step 6: Final answer
    x = 22,627.87

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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.