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Finding the Fourth Proportional to 21,129.36, 31,658.40 and 13,722.72

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Solution

The fourth proportional to 21,129.36, 31,658.40 and 13,722.72 is: 20,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,129.36 : 31,658.40 = 13,722.72 : x
  2. Step 2: Convert to fraction form
    21,129.36/31,658.40 = 13,722.72/x
  3. Step 3: Cross multiply
    21,129.36x = 31,658.40 × 13,722.72
  4. Step 4: Simplify right side
    21,129.36x = 434,439,358.85
  5. Step 5: Solve for x
    x = 434,439,358.85/21,129.36
  6. Step 6: Final answer
    x = 20,560.93

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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.