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Finding the Fourth Proportional to 12,697.45, 19,048.95 and 3,812.41

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Solution

The fourth proportional to 12,697.45, 19,048.95 and 3,812.41 is: 5,719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.45 : 19,048.95 = 3,812.41 : x
  2. Step 2: Convert to fraction form
    12,697.45/19,048.95 = 3,812.41/x
  3. Step 3: Cross multiply
    12,697.45x = 19,048.95 × 3,812.41
  4. Step 4: Simplify right side
    12,697.45x = 72,622,407.47
  5. Step 5: Solve for x
    x = 72,622,407.47/12,697.45
  6. Step 6: Final answer
    x = 5,719.45

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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.