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Finding the Fourth Proportional to 12,740.47, 19,103.34 and 4,940.17

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Solution

The fourth proportional to 12,740.47, 19,103.34 and 4,940.17 is: 7,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.47 : 19,103.34 = 4,940.17 : x
  2. Step 2: Convert to fraction form
    12,740.47/19,103.34 = 4,940.17/x
  3. Step 3: Cross multiply
    12,740.47x = 19,103.34 × 4,940.17
  4. Step 4: Simplify right side
    12,740.47x = 94,373,717.94
  5. Step 5: Solve for x
    x = 94,373,717.94/12,740.47
  6. Step 6: Final answer
    x = 7,407.40

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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.