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Finding the Fourth Proportional to 13,583.82, 20,362.65 and 7,423.50

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Solution

The fourth proportional to 13,583.82, 20,362.65 and 7,423.50 is: 11,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.82 : 20,362.65 = 7,423.50 : x
  2. Step 2: Convert to fraction form
    13,583.82/20,362.65 = 7,423.50/x
  3. Step 3: Cross multiply
    13,583.82x = 20,362.65 × 7,423.50
  4. Step 4: Simplify right side
    13,583.82x = 151,162,132.28
  5. Step 5: Solve for x
    x = 151,162,132.28/13,583.82
  6. Step 6: Final answer
    x = 11,128.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.