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Finding the Fourth Proportional to 12,215.40, 16,854.64 and 9,385.86

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Solution

The fourth proportional to 12,215.40, 16,854.64 and 9,385.86 is: 12,950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.40 : 16,854.64 = 9,385.86 : x
  2. Step 2: Convert to fraction form
    12,215.40/16,854.64 = 9,385.86/x
  3. Step 3: Cross multiply
    12,215.40x = 16,854.64 × 9,385.86
  4. Step 4: Simplify right side
    12,215.40x = 158,195,291.39
  5. Step 5: Solve for x
    x = 158,195,291.39/12,215.40
  6. Step 6: Final answer
    x = 12,950.48

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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.