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Finding the Fourth Proportional to 13,820.40, 20,732.67 and 5,053.23

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Solution

The fourth proportional to 13,820.40, 20,732.67 and 5,053.23 is: 7,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.40 : 20,732.67 = 5,053.23 : x
  2. Step 2: Convert to fraction form
    13,820.40/20,732.67 = 5,053.23/x
  3. Step 3: Cross multiply
    13,820.40x = 20,732.67 × 5,053.23
  4. Step 4: Simplify right side
    13,820.40x = 104,766,950.02
  5. Step 5: Solve for x
    x = 104,766,950.02/13,820.40
  6. Step 6: Final answer
    x = 7,580.60

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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.