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Finding the Fourth Proportional to 13,830.93, 20,726.96 and 6,023.37

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Solution

The fourth proportional to 13,830.93, 20,726.96 and 6,023.37 is: 9,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.93 : 20,726.96 = 6,023.37 : x
  2. Step 2: Convert to fraction form
    13,830.93/20,726.96 = 6,023.37/x
  3. Step 3: Cross multiply
    13,830.93x = 20,726.96 × 6,023.37
  4. Step 4: Simplify right side
    13,830.93x = 124,846,118.94
  5. Step 5: Solve for x
    x = 124,846,118.94/13,830.93
  6. Step 6: Final answer
    x = 9,026.59

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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.