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Finding the Fourth Proportional to 13,738.17, 20,607.04 and 4,378.07

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Solution

The fourth proportional to 13,738.17, 20,607.04 and 4,378.07 is: 6,567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.17 : 20,607.04 = 4,378.07 : x
  2. Step 2: Convert to fraction form
    13,738.17/20,607.04 = 4,378.07/x
  3. Step 3: Cross multiply
    13,738.17x = 20,607.04 × 4,378.07
  4. Step 4: Simplify right side
    13,738.17x = 90,218,980.06
  5. Step 5: Solve for x
    x = 90,218,980.06/13,738.17
  6. Step 6: Final answer
    x = 6,567.03

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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.