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Finding the Fourth Proportional to 14,654.69, 20,223.44 and 7,940.50

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Solution

The fourth proportional to 14,654.69, 20,223.44 and 7,940.50 is: 10,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.69 : 20,223.44 = 7,940.50 : x
  2. Step 2: Convert to fraction form
    14,654.69/20,223.44 = 7,940.50/x
  3. Step 3: Cross multiply
    14,654.69x = 20,223.44 × 7,940.50
  4. Step 4: Simplify right side
    14,654.69x = 160,584,225.32
  5. Step 5: Solve for x
    x = 160,584,225.32/14,654.69
  6. Step 6: Final answer
    x = 10,957.87

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1.5x scale

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.