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Finding the Fourth Proportional to 13,770.78, 19,005.75 and 7,802.70

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Solution

The fourth proportional to 13,770.78, 19,005.75 and 7,802.70 is: 10,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.78 : 19,005.75 = 7,802.70 : x
  2. Step 2: Convert to fraction form
    13,770.78/19,005.75 = 7,802.70/x
  3. Step 3: Cross multiply
    13,770.78x = 19,005.75 × 7,802.70
  4. Step 4: Simplify right side
    13,770.78x = 148,296,165.53
  5. Step 5: Solve for x
    x = 148,296,165.53/13,770.78
  6. Step 6: Final answer
    x = 10,768.90

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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.