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Finding the Fourth Proportional to 13,577.40, 20,358.72 and 4,214.88

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Solution

The fourth proportional to 13,577.40, 20,358.72 and 4,214.88 is: 6,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.40 : 20,358.72 = 4,214.88 : x
  2. Step 2: Convert to fraction form
    13,577.40/20,358.72 = 4,214.88/x
  3. Step 3: Cross multiply
    13,577.40x = 20,358.72 × 4,214.88
  4. Step 4: Simplify right side
    13,577.40x = 85,809,561.75
  5. Step 5: Solve for x
    x = 85,809,561.75/13,577.40
  6. Step 6: Final answer
    x = 6,320.03

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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.