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Finding the Fourth Proportional to 13,420.58, 20,113.05 and 6,023.66

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Solution

The fourth proportional to 13,420.58, 20,113.05 and 6,023.66 is: 9,027.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.58 : 20,113.05 = 6,023.66 : x
  2. Step 2: Convert to fraction form
    13,420.58/20,113.05 = 6,023.66/x
  3. Step 3: Cross multiply
    13,420.58x = 20,113.05 × 6,023.66
  4. Step 4: Simplify right side
    13,420.58x = 121,154,174.76
  5. Step 5: Solve for x
    x = 121,154,174.76/13,420.58
  6. Step 6: Final answer
    x = 9,027.49

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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.