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Finding the Fourth Proportional to 14,306.86, 19,745.82 and 8,342.02

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Solution

The fourth proportional to 14,306.86, 19,745.82 and 8,342.02 is: 11,513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.86 : 19,745.82 = 8,342.02 : x
  2. Step 2: Convert to fraction form
    14,306.86/19,745.82 = 8,342.02/x
  3. Step 3: Cross multiply
    14,306.86x = 19,745.82 × 8,342.02
  4. Step 4: Simplify right side
    14,306.86x = 164,720,025.36
  5. Step 5: Solve for x
    x = 164,720,025.36/14,306.86
  6. Step 6: Final answer
    x = 11,513.36

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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.