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Finding the Fourth Proportional to 12,756.92, 19,133.46 and 3,397.50

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Solution

The fourth proportional to 12,756.92, 19,133.46 and 3,397.50 is: 5,095.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756.92 : 19,133.46 = 3,397.50 : x
  2. Step 2: Convert to fraction form
    12,756.92/19,133.46 = 3,397.50/x
  3. Step 3: Cross multiply
    12,756.92x = 19,133.46 × 3,397.50
  4. Step 4: Simplify right side
    12,756.92x = 65,005,930.35
  5. Step 5: Solve for x
    x = 65,005,930.35/12,756.92
  6. Step 6: Final answer
    x = 5,095.74

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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.