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Finding the Fourth Proportional to 13,616.65, 20,412.65 and 9,458.60

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Solution

The fourth proportional to 13,616.65, 20,412.65 and 9,458.60 is: 14,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.65 : 20,412.65 = 9,458.60 : x
  2. Step 2: Convert to fraction form
    13,616.65/20,412.65 = 9,458.60/x
  3. Step 3: Cross multiply
    13,616.65x = 20,412.65 × 9,458.60
  4. Step 4: Simplify right side
    13,616.65x = 193,075,044.00
  5. Step 5: Solve for x
    x = 193,075,044.00/13,616.65
  6. Step 6: Final answer
    x = 14,179.34

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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.