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Finding the Fourth Proportional to 21,121.01, 31,658.73 and 13,730.77

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Solution

The fourth proportional to 21,121.01, 31,658.73 and 13,730.77 is: 20,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,121.01 : 31,658.73 = 13,730.77 : x
  2. Step 2: Convert to fraction form
    21,121.01/31,658.73 = 13,730.77/x
  3. Step 3: Cross multiply
    21,121.01x = 31,658.73 × 13,730.77
  4. Step 4: Simplify right side
    21,121.01x = 434,698,740.12
  5. Step 5: Solve for x
    x = 434,698,740.12/21,121.01
  6. Step 6: Final answer
    x = 20,581.34

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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.