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Finding the Fourth Proportional to 13,264.89, 19,879.75 and 9,738.40

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Solution

The fourth proportional to 13,264.89, 19,879.75 and 9,738.40 is: 14,594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.89 : 19,879.75 = 9,738.40 : x
  2. Step 2: Convert to fraction form
    13,264.89/19,879.75 = 9,738.40/x
  3. Step 3: Cross multiply
    13,264.89x = 19,879.75 × 9,738.40
  4. Step 4: Simplify right side
    13,264.89x = 193,596,958.28
  5. Step 5: Solve for x
    x = 193,596,958.28/13,264.89
  6. Step 6: Final answer
    x = 14,594.69

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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.