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Finding the Fourth Proportional to 12,683.21, 17,508.54 and 8,441.78

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Solution

The fourth proportional to 12,683.21, 17,508.54 and 8,441.78 is: 11,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.21 : 17,508.54 = 8,441.78 : x
  2. Step 2: Convert to fraction form
    12,683.21/17,508.54 = 8,441.78/x
  3. Step 3: Cross multiply
    12,683.21x = 17,508.54 × 8,441.78
  4. Step 4: Simplify right side
    12,683.21x = 147,803,155.26
  5. Step 5: Solve for x
    x = 147,803,155.26/12,683.21
  6. Step 6: Final answer
    x = 11,653.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.