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Finding the Fourth Proportional to 13,077.33, 19,616.00 and 9,199.05

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Solution

The fourth proportional to 13,077.33, 19,616.00 and 9,199.05 is: 13,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.33 : 19,616.00 = 9,199.05 : x
  2. Step 2: Convert to fraction form
    13,077.33/19,616.00 = 9,199.05/x
  3. Step 3: Cross multiply
    13,077.33x = 19,616.00 × 9,199.05
  4. Step 4: Simplify right side
    13,077.33x = 180,448,518.80
  5. Step 5: Solve for x
    x = 180,448,518.80/13,077.33
  6. Step 6: Final answer
    x = 13,798.58

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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.