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Finding the Fourth Proportional to 12,852.26, 19,278.38 and 7,230.30

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Solution

The fourth proportional to 12,852.26, 19,278.38 and 7,230.30 is: 10,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.26 : 19,278.38 = 7,230.30 : x
  2. Step 2: Convert to fraction form
    12,852.26/19,278.38 = 7,230.30/x
  3. Step 3: Cross multiply
    12,852.26x = 19,278.38 × 7,230.30
  4. Step 4: Simplify right side
    12,852.26x = 139,388,502.55
  5. Step 5: Solve for x
    x = 139,388,502.55/12,852.26
  6. Step 6: Final answer
    x = 10,845.45

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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.