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Finding the Fourth Proportional to 12,762.30, 19,143.42 and 6,955.80

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Solution

The fourth proportional to 12,762.30, 19,143.42 and 6,955.80 is: 10,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.30 : 19,143.42 = 6,955.80 : x
  2. Step 2: Convert to fraction form
    12,762.30/19,143.42 = 6,955.80/x
  3. Step 3: Cross multiply
    12,762.30x = 19,143.42 × 6,955.80
  4. Step 4: Simplify right side
    12,762.30x = 133,157,800.84
  5. Step 5: Solve for x
    x = 133,157,800.84/12,762.30
  6. Step 6: Final answer
    x = 10,433.68

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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.