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Finding the Fourth Proportional to 14,195.52, 19,565.82 and 9,711.54

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Solution

The fourth proportional to 14,195.52, 19,565.82 and 9,711.54 is: 13,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,195.52 : 19,565.82 = 9,711.54 : x
  2. Step 2: Convert to fraction form
    14,195.52/19,565.82 = 9,711.54/x
  3. Step 3: Cross multiply
    14,195.52x = 19,565.82 × 9,711.54
  4. Step 4: Simplify right side
    14,195.52x = 190,014,243.56
  5. Step 5: Solve for x
    x = 190,014,243.56/14,195.52
  6. Step 6: Final answer
    x = 13,385.51

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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.