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Finding the Fourth Proportional to 13,770.82, 19,004.14 and 7,802.49

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Solution

The fourth proportional to 13,770.82, 19,004.14 and 7,802.49 is: 10,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.82 : 19,004.14 = 7,802.49 : x
  2. Step 2: Convert to fraction form
    13,770.82/19,004.14 = 7,802.49/x
  3. Step 3: Cross multiply
    13,770.82x = 19,004.14 × 7,802.49
  4. Step 4: Simplify right side
    13,770.82x = 148,279,612.31
  5. Step 5: Solve for x
    x = 148,279,612.31/13,770.82
  6. Step 6: Final answer
    x = 10,767.67

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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.