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Finding the Fourth Proportional to 13,009.80, 19,469.90 and 7,819.40

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Solution

The fourth proportional to 13,009.80, 19,469.90 and 7,819.40 is: 11,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.80 : 19,469.90 = 7,819.40 : x
  2. Step 2: Convert to fraction form
    13,009.80/19,469.90 = 7,819.40/x
  3. Step 3: Cross multiply
    13,009.80x = 19,469.90 × 7,819.40
  4. Step 4: Simplify right side
    13,009.80x = 152,242,936.06
  5. Step 5: Solve for x
    x = 152,242,936.06/13,009.80
  6. Step 6: Final answer
    x = 11,702.17

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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.