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Finding the Fourth Proportional to 13,109.49, 19,651.86 and 6,529.44

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Solution

The fourth proportional to 13,109.49, 19,651.86 and 6,529.44 is: 9,788.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,109.49 : 19,651.86 = 6,529.44 : x
  2. Step 2: Convert to fraction form
    13,109.49/19,651.86 = 6,529.44/x
  3. Step 3: Cross multiply
    13,109.49x = 19,651.86 × 6,529.44
  4. Step 4: Simplify right side
    13,109.49x = 128,315,640.76
  5. Step 5: Solve for x
    x = 128,315,640.76/13,109.49
  6. Step 6: Final answer
    x = 9,788.00

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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.