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Finding the Fourth Proportional to 14,564.50, 20,099.02 and 7,940.50

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Solution

The fourth proportional to 14,564.50, 20,099.02 and 7,940.50 is: 10,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.50 : 20,099.02 = 7,940.50 : x
  2. Step 2: Convert to fraction form
    14,564.50/20,099.02 = 7,940.50/x
  3. Step 3: Cross multiply
    14,564.50x = 20,099.02 × 7,940.50
  4. Step 4: Simplify right side
    14,564.50x = 159,596,268.31
  5. Step 5: Solve for x
    x = 159,596,268.31/14,564.50
  6. Step 6: Final answer
    x = 10,957.90

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Why These Related Problems?

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