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Finding the Fourth Proportional to 12,302.63, 16,977.53 and 6,997.44

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Solution

The fourth proportional to 12,302.63, 16,977.53 and 6,997.44 is: 9,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.63 : 16,977.53 = 6,997.44 : x
  2. Step 2: Convert to fraction form
    12,302.63/16,977.53 = 6,997.44/x
  3. Step 3: Cross multiply
    12,302.63x = 16,977.53 × 6,997.44
  4. Step 4: Simplify right side
    12,302.63x = 118,799,162.64
  5. Step 5: Solve for x
    x = 118,799,162.64/12,302.63
  6. Step 6: Final answer
    x = 9,656.41

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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.