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Finding the Fourth Proportional to 16,385.94, 24,575.67 and 4,700.34

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Solution

The fourth proportional to 16,385.94, 24,575.67 and 4,700.34 is: 7,049.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.94 : 24,575.67 = 4,700.34 : x
  2. Step 2: Convert to fraction form
    16,385.94/24,575.67 = 4,700.34/x
  3. Step 3: Cross multiply
    16,385.94x = 24,575.67 × 4,700.34
  4. Step 4: Simplify right side
    16,385.94x = 115,514,004.73
  5. Step 5: Solve for x
    x = 115,514,004.73/16,385.94
  6. Step 6: Final answer
    x = 7,049.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.