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Finding the Fourth Proportional to 12,896.18, 19,319.29 and 7,546.42

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Solution

The fourth proportional to 12,896.18, 19,319.29 and 7,546.42 is: 11,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.18 : 19,319.29 = 7,546.42 : x
  2. Step 2: Convert to fraction form
    12,896.18/19,319.29 = 7,546.42/x
  3. Step 3: Cross multiply
    12,896.18x = 19,319.29 × 7,546.42
  4. Step 4: Simplify right side
    12,896.18x = 145,791,415.50
  5. Step 5: Solve for x
    x = 145,791,415.50/12,896.18
  6. Step 6: Final answer
    x = 11,305.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.