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Finding the Fourth Proportional to 14,336.50, 21,505.56 and 5,102.50

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Solution

The fourth proportional to 14,336.50, 21,505.56 and 5,102.50 is: 7,654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,336.50 : 21,505.56 = 5,102.50 : x
  2. Step 2: Convert to fraction form
    14,336.50/21,505.56 = 5,102.50/x
  3. Step 3: Cross multiply
    14,336.50x = 21,505.56 × 5,102.50
  4. Step 4: Simplify right side
    14,336.50x = 109,732,119.90
  5. Step 5: Solve for x
    x = 109,732,119.90/14,336.50
  6. Step 6: Final answer
    x = 7,654.04

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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.