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Finding the Fourth Proportional to 21,629.70, 32,448.88 and 9,149.67

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Solution

The fourth proportional to 21,629.70, 32,448.88 and 9,149.67 is: 13,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,629.70 : 32,448.88 = 9,149.67 : x
  2. Step 2: Convert to fraction form
    21,629.70/32,448.88 = 9,149.67/x
  3. Step 3: Cross multiply
    21,629.70x = 32,448.88 × 9,149.67
  4. Step 4: Simplify right side
    21,629.70x = 296,896,602.12
  5. Step 5: Solve for x
    x = 296,896,602.12/21,629.70
  6. Step 6: Final answer
    x = 13,726.34

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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.