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Finding the Fourth Proportional to 11,813.80, 17,688.30 and 9,221.80

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Solution

The fourth proportional to 11,813.80, 17,688.30 and 9,221.80 is: 13,807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.80 : 17,688.30 = 9,221.80 : x
  2. Step 2: Convert to fraction form
    11,813.80/17,688.30 = 9,221.80/x
  3. Step 3: Cross multiply
    11,813.80x = 17,688.30 × 9,221.80
  4. Step 4: Simplify right side
    11,813.80x = 163,117,964.94
  5. Step 5: Solve for x
    x = 163,117,964.94/11,813.80
  6. Step 6: Final answer
    x = 13,807.41

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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.