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Finding the Fourth Proportional to 13,583.58, 20,343.78 and 13,209.87

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Solution

The fourth proportional to 13,583.58, 20,343.78 and 13,209.87 is: 19,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.58 : 20,343.78 = 13,209.87 : x
  2. Step 2: Convert to fraction form
    13,583.58/20,343.78 = 13,209.87/x
  3. Step 3: Cross multiply
    13,583.58x = 20,343.78 × 13,209.87
  4. Step 4: Simplify right side
    13,583.58x = 268,738,689.11
  5. Step 5: Solve for x
    x = 268,738,689.11/13,583.58
  6. Step 6: Final answer
    x = 19,784.08

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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.