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Finding the Fourth Proportional to 13,830.72, 20,746.06 and 3,442.48

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Solution

The fourth proportional to 13,830.72, 20,746.06 and 3,442.48 is: 5,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.72 : 20,746.06 = 3,442.48 : x
  2. Step 2: Convert to fraction form
    13,830.72/20,746.06 = 3,442.48/x
  3. Step 3: Cross multiply
    13,830.72x = 20,746.06 × 3,442.48
  4. Step 4: Simplify right side
    13,830.72x = 71,417,896.63
  5. Step 5: Solve for x
    x = 71,417,896.63/13,830.72
  6. Step 6: Final answer
    x = 5,163.72

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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.