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Finding the Fourth Proportional to 14,278.14, 19,710.54 and 9,565.56

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Solution

The fourth proportional to 14,278.14, 19,710.54 and 9,565.56 is: 13,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278.14 : 19,710.54 = 9,565.56 : x
  2. Step 2: Convert to fraction form
    14,278.14/19,710.54 = 9,565.56/x
  3. Step 3: Cross multiply
    14,278.14x = 19,710.54 × 9,565.56
  4. Step 4: Simplify right side
    14,278.14x = 188,542,353.00
  5. Step 5: Solve for x
    x = 188,542,353.00/14,278.14
  6. Step 6: Final answer
    x = 13,204.97

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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.