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Finding the Fourth Proportional to 12,852.43, 19,285.02 and 8,683.29

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Solution

The fourth proportional to 12,852.43, 19,285.02 and 8,683.29 is: 13,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.43 : 19,285.02 = 8,683.29 : x
  2. Step 2: Convert to fraction form
    12,852.43/19,285.02 = 8,683.29/x
  3. Step 3: Cross multiply
    12,852.43x = 19,285.02 × 8,683.29
  4. Step 4: Simplify right side
    12,852.43x = 167,457,421.32
  5. Step 5: Solve for x
    x = 167,457,421.32/12,852.43
  6. Step 6: Final answer
    x = 13,029.24

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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.