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Finding the Fourth Proportional to 12,683.60, 19,014.58 and 8,974.16

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Solution

The fourth proportional to 12,683.60, 19,014.58 and 8,974.16 is: 13,453.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.60 : 19,014.58 = 8,974.16 : x
  2. Step 2: Convert to fraction form
    12,683.60/19,014.58 = 8,974.16/x
  3. Step 3: Cross multiply
    12,683.60x = 19,014.58 × 8,974.16
  4. Step 4: Simplify right side
    12,683.60x = 170,639,883.25
  5. Step 5: Solve for x
    x = 170,639,883.25/12,683.60
  6. Step 6: Final answer
    x = 13,453.58

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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.