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Finding the Fourth Proportional to 12,235.86, 16,885.16 and 6,932.39

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Solution

The fourth proportional to 12,235.86, 16,885.16 and 6,932.39 is: 9,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.86 : 16,885.16 = 6,932.39 : x
  2. Step 2: Convert to fraction form
    12,235.86/16,885.16 = 6,932.39/x
  3. Step 3: Cross multiply
    12,235.86x = 16,885.16 × 6,932.39
  4. Step 4: Simplify right side
    12,235.86x = 117,054,421.24
  5. Step 5: Solve for x
    x = 117,054,421.24/12,235.86
  6. Step 6: Final answer
    x = 9,566.51

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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.