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Finding the Fourth Proportional to 13,009.35, 19,497.78 and 5,981.88

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Solution

The fourth proportional to 13,009.35, 19,497.78 and 5,981.88 is: 8,965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.35 : 19,497.78 = 5,981.88 : x
  2. Step 2: Convert to fraction form
    13,009.35/19,497.78 = 5,981.88/x
  3. Step 3: Cross multiply
    13,009.35x = 19,497.78 × 5,981.88
  4. Step 4: Simplify right side
    13,009.35x = 116,633,380.23
  5. Step 5: Solve for x
    x = 116,633,380.23/13,009.35
  6. Step 6: Final answer
    x = 8,965.35

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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.