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Finding the Fourth Proportional to 13,782.64, 18,765.58 and 13,738.90

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Solution

The fourth proportional to 13,782.64, 18,765.58 and 13,738.90 is: 18,706.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.64 : 18,765.58 = 13,738.90 : x
  2. Step 2: Convert to fraction form
    13,782.64/18,765.58 = 13,738.90/x
  3. Step 3: Cross multiply
    13,782.64x = 18,765.58 × 13,738.90
  4. Step 4: Simplify right side
    13,782.64x = 257,818,427.06
  5. Step 5: Solve for x
    x = 257,818,427.06/13,782.64
  6. Step 6: Final answer
    x = 18,706.03

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.