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Finding the Fourth Proportional to 14,308.78, 19,745.31 and 8,341.42

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Solution

The fourth proportional to 14,308.78, 19,745.31 and 8,341.42 is: 11,510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,308.78 : 19,745.31 = 8,341.42 : x
  2. Step 2: Convert to fraction form
    14,308.78/19,745.31 = 8,341.42/x
  3. Step 3: Cross multiply
    14,308.78x = 19,745.31 × 8,341.42
  4. Step 4: Simplify right side
    14,308.78x = 164,703,923.74
  5. Step 5: Solve for x
    x = 164,703,923.74/14,308.78
  6. Step 6: Final answer
    x = 11,510.69

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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.