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Finding the Fourth Proportional to 12,683.70, 19,025.55 and 6,851.70

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Solution

The fourth proportional to 12,683.70, 19,025.55 and 6,851.70 is: 10,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.70 : 19,025.55 = 6,851.70 : x
  2. Step 2: Convert to fraction form
    12,683.70/19,025.55 = 6,851.70/x
  3. Step 3: Cross multiply
    12,683.70x = 19,025.55 × 6,851.70
  4. Step 4: Simplify right side
    12,683.70x = 130,357,360.94
  5. Step 5: Solve for x
    x = 130,357,360.94/12,683.70
  6. Step 6: Final answer
    x = 10,277.55

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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.