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Finding the Fourth Proportional to 16,985.86, 25,467.16 and 8,649.74

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Solution

The fourth proportional to 16,985.86, 25,467.16 and 8,649.74 is: 12,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,985.86 : 25,467.16 = 8,649.74 : x
  2. Step 2: Convert to fraction form
    16,985.86/25,467.16 = 8,649.74/x
  3. Step 3: Cross multiply
    16,985.86x = 25,467.16 × 8,649.74
  4. Step 4: Simplify right side
    16,985.86x = 220,284,312.54
  5. Step 5: Solve for x
    x = 220,284,312.54/16,985.86
  6. Step 6: Final answer
    x = 12,968.69

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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.