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Finding the Fourth Proportional to 13,129.90, 19,683.84 and 5,728.73

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Solution

The fourth proportional to 13,129.90, 19,683.84 and 5,728.73 is: 8,588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.90 : 19,683.84 = 5,728.73 : x
  2. Step 2: Convert to fraction form
    13,129.90/19,683.84 = 5,728.73/x
  3. Step 3: Cross multiply
    13,129.90x = 19,683.84 × 5,728.73
  4. Step 4: Simplify right side
    13,129.90x = 112,763,279.45
  5. Step 5: Solve for x
    x = 112,763,279.45/13,129.90
  6. Step 6: Final answer
    x = 8,588.28

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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.