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Finding the Fourth Proportional to 12,963.96, 19,408.68 and 7,407.36

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Solution

The fourth proportional to 12,963.96, 19,408.68 and 7,407.36 is: 11,089.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.96 : 19,408.68 = 7,407.36 : x
  2. Step 2: Convert to fraction form
    12,963.96/19,408.68 = 7,407.36/x
  3. Step 3: Cross multiply
    12,963.96x = 19,408.68 × 7,407.36
  4. Step 4: Simplify right side
    12,963.96x = 143,767,079.88
  5. Step 5: Solve for x
    x = 143,767,079.88/12,963.96
  6. Step 6: Final answer
    x = 11,089.75

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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.