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Finding the Fourth Proportional to 13,770.03, 19,002.60 and 7,802.84

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Solution

The fourth proportional to 13,770.03, 19,002.60 and 7,802.84 is: 10,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.03 : 19,002.60 = 7,802.84 : x
  2. Step 2: Convert to fraction form
    13,770.03/19,002.60 = 7,802.84/x
  3. Step 3: Cross multiply
    13,770.03x = 19,002.60 × 7,802.84
  4. Step 4: Simplify right side
    13,770.03x = 148,274,241.45
  5. Step 5: Solve for x
    x = 148,274,241.45/13,770.03
  6. Step 6: Final answer
    x = 10,767.89

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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.