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Finding the Fourth Proportional to 29,780.34, 41,097.41 and 16,352.86

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Solution

The fourth proportional to 29,780.34, 41,097.41 and 16,352.86 is: 22,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,780.34 : 41,097.41 = 16,352.86 : x
  2. Step 2: Convert to fraction form
    29,780.34/41,097.41 = 16,352.86/x
  3. Step 3: Cross multiply
    29,780.34x = 41,097.41 × 16,352.86
  4. Step 4: Simplify right side
    29,780.34x = 672,060,192.09
  5. Step 5: Solve for x
    x = 672,060,192.09/29,780.34
  6. Step 6: Final answer
    x = 22,567.24

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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.