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Finding the Fourth Proportional to 13,645.30, 20,477.35 and 4,760.68

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Solution

The fourth proportional to 13,645.30, 20,477.35 and 4,760.68 is: 7,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.30 : 20,477.35 = 4,760.68 : x
  2. Step 2: Convert to fraction form
    13,645.30/20,477.35 = 4,760.68/x
  3. Step 3: Cross multiply
    13,645.30x = 20,477.35 × 4,760.68
  4. Step 4: Simplify right side
    13,645.30x = 97,486,142.15
  5. Step 5: Solve for x
    x = 97,486,142.15/13,645.30
  6. Step 6: Final answer
    x = 7,144.30

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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.