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Finding the Fourth Proportional to 12,235.63, 16,885.19 and 6,646.63

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Solution

The fourth proportional to 12,235.63, 16,885.19 and 6,646.63 is: 9,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.63 : 16,885.19 = 6,646.63 : x
  2. Step 2: Convert to fraction form
    12,235.63/16,885.19 = 6,646.63/x
  3. Step 3: Cross multiply
    12,235.63x = 16,885.19 × 6,646.63
  4. Step 4: Simplify right side
    12,235.63x = 112,229,610.41
  5. Step 5: Solve for x
    x = 112,229,610.41/12,235.63
  6. Step 6: Final answer
    x = 9,172.36

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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.