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Finding the Fourth Proportional to 13,532.19, 20,298.30 and 4,765.08

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Solution

The fourth proportional to 13,532.19, 20,298.30 and 4,765.08 is: 7,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.19 : 20,298.30 = 4,765.08 : x
  2. Step 2: Convert to fraction form
    13,532.19/20,298.30 = 4,765.08/x
  3. Step 3: Cross multiply
    13,532.19x = 20,298.30 × 4,765.08
  4. Step 4: Simplify right side
    13,532.19x = 96,723,023.36
  5. Step 5: Solve for x
    x = 96,723,023.36/13,532.19
  6. Step 6: Final answer
    x = 7,147.63

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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.