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Finding the Fourth Proportional to 14,319.64, 21,485.90 and 7,738.12

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Solution

The fourth proportional to 14,319.64, 21,485.90 and 7,738.12 is: 11,610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319.64 : 21,485.90 = 7,738.12 : x
  2. Step 2: Convert to fraction form
    14,319.64/21,485.90 = 7,738.12/x
  3. Step 3: Cross multiply
    14,319.64x = 21,485.90 × 7,738.12
  4. Step 4: Simplify right side
    14,319.64x = 166,260,438.14
  5. Step 5: Solve for x
    x = 166,260,438.14/14,319.64
  6. Step 6: Final answer
    x = 11,610.66

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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.