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Finding the Fourth Proportional to 13,271.88, 18,322.56 and 7,968

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Solution

The fourth proportional to 13,271.88, 18,322.56 and 7,968 is: 11,000.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,271.88 : 18,322.56 = 7,968 : x
  2. Step 2: Convert to fraction form
    13,271.88/18,322.56 = 7,968/x
  3. Step 3: Cross multiply
    13,271.88x = 18,322.56 × 7,968
  4. Step 4: Simplify right side
    13,271.88x = 145,994,158.08
  5. Step 5: Solve for x
    x = 145,994,158.08/13,271.88
  6. Step 6: Final answer
    x = 11,000.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.