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Finding the Fourth Proportional to 13,643.64, 20,461.68 and 3,782.16

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Solution

The fourth proportional to 13,643.64, 20,461.68 and 3,782.16 is: 5,672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.64 : 20,461.68 = 3,782.16 : x
  2. Step 2: Convert to fraction form
    13,643.64/20,461.68 = 3,782.16/x
  3. Step 3: Cross multiply
    13,643.64x = 20,461.68 × 3,782.16
  4. Step 4: Simplify right side
    13,643.64x = 77,389,347.63
  5. Step 5: Solve for x
    x = 77,389,347.63/13,643.64
  6. Step 6: Final answer
    x = 5,672.19

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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.