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Finding the Fourth Proportional to 13,770.15, 20,656.58 and 4,407.81

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Solution

The fourth proportional to 13,770.15, 20,656.58 and 4,407.81 is: 6,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.15 : 20,656.58 = 4,407.81 : x
  2. Step 2: Convert to fraction form
    13,770.15/20,656.58 = 4,407.81/x
  3. Step 3: Cross multiply
    13,770.15x = 20,656.58 × 4,407.81
  4. Step 4: Simplify right side
    13,770.15x = 91,050,257.85
  5. Step 5: Solve for x
    x = 91,050,257.85/13,770.15
  6. Step 6: Final answer
    x = 6,612.15

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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.