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Finding the Fourth Proportional to 13,138.90, 19,713.02 and 8,202.84

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Solution

The fourth proportional to 13,138.90, 19,713.02 and 8,202.84 is: 12,307.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.90 : 19,713.02 = 8,202.84 : x
  2. Step 2: Convert to fraction form
    13,138.90/19,713.02 = 8,202.84/x
  3. Step 3: Cross multiply
    13,138.90x = 19,713.02 × 8,202.84
  4. Step 4: Simplify right side
    13,138.90x = 161,702,748.98
  5. Step 5: Solve for x
    x = 161,702,748.98/13,138.90
  6. Step 6: Final answer
    x = 12,307.18

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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.