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Finding the Fourth Proportional to 13,601.40, 20,420.82 and 7,032.12

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Solution

The fourth proportional to 13,601.40, 20,420.82 and 7,032.12 is: 10,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,601.40 : 20,420.82 = 7,032.12 : x
  2. Step 2: Convert to fraction form
    13,601.40/20,420.82 = 7,032.12/x
  3. Step 3: Cross multiply
    13,601.40x = 20,420.82 × 7,032.12
  4. Step 4: Simplify right side
    13,601.40x = 143,601,656.74
  5. Step 5: Solve for x
    x = 143,601,656.74/13,601.40
  6. Step 6: Final answer
    x = 10,557.86

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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.