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Finding the Fourth Proportional to 13,763.84, 18,994.11 and 7,476.21

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Solution

The fourth proportional to 13,763.84, 18,994.11 and 7,476.21 is: 10,317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.84 : 18,994.11 = 7,476.21 : x
  2. Step 2: Convert to fraction form
    13,763.84/18,994.11 = 7,476.21/x
  3. Step 3: Cross multiply
    13,763.84x = 18,994.11 × 7,476.21
  4. Step 4: Simplify right side
    13,763.84x = 142,003,955.12
  5. Step 5: Solve for x
    x = 142,003,955.12/13,763.84
  6. Step 6: Final answer
    x = 10,317.18

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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.