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Finding the Fourth Proportional to 13,503.40, 20,254.14 and 3,643.24

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Solution

The fourth proportional to 13,503.40, 20,254.14 and 3,643.24 is: 5,464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.40 : 20,254.14 = 3,643.24 : x
  2. Step 2: Convert to fraction form
    13,503.40/20,254.14 = 3,643.24/x
  3. Step 3: Cross multiply
    13,503.40x = 20,254.14 × 3,643.24
  4. Step 4: Simplify right side
    13,503.40x = 73,790,693.01
  5. Step 5: Solve for x
    x = 73,790,693.01/13,503.40
  6. Step 6: Final answer
    x = 5,464.60

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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.