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Finding the Fourth Proportional to 21,937.50, 32,906.64 and 7,146.36

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Solution

The fourth proportional to 21,937.50, 32,906.64 and 7,146.36 is: 10,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,937.50 : 32,906.64 = 7,146.36 : x
  2. Step 2: Convert to fraction form
    21,937.50/32,906.64 = 7,146.36/x
  3. Step 3: Cross multiply
    21,937.50x = 32,906.64 × 7,146.36
  4. Step 4: Simplify right side
    21,937.50x = 235,162,695.83
  5. Step 5: Solve for x
    x = 235,162,695.83/21,937.50
  6. Step 6: Final answer
    x = 10,719.67

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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.