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Finding the Fourth Proportional to 13,218.84, 19,821.96 and 7,673.90

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Solution

The fourth proportional to 13,218.84, 19,821.96 and 7,673.90 is: 11,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218.84 : 19,821.96 = 7,673.90 : x
  2. Step 2: Convert to fraction form
    13,218.84/19,821.96 = 7,673.90/x
  3. Step 3: Cross multiply
    13,218.84x = 19,821.96 × 7,673.90
  4. Step 4: Simplify right side
    13,218.84x = 152,111,639.73
  5. Step 5: Solve for x
    x = 152,111,639.73/13,218.84
  6. Step 6: Final answer
    x = 11,507.19

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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.