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Finding the Fourth Proportional to 13,564.80, 18,720.30 and 7,596.24

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Solution

The fourth proportional to 13,564.80, 18,720.30 and 7,596.24 is: 10,483.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.80 : 18,720.30 = 7,596.24 : x
  2. Step 2: Convert to fraction form
    13,564.80/18,720.30 = 7,596.24/x
  3. Step 3: Cross multiply
    13,564.80x = 18,720.30 × 7,596.24
  4. Step 4: Simplify right side
    13,564.80x = 142,203,891.67
  5. Step 5: Solve for x
    x = 142,203,891.67/13,564.80
  6. Step 6: Final answer
    x = 10,483.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.