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Finding the Fourth Proportional to 12,573.15, 18,852.49 and 5,171.50

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Solution

The fourth proportional to 12,573.15, 18,852.49 and 5,171.50 is: 7,754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.15 : 18,852.49 = 5,171.50 : x
  2. Step 2: Convert to fraction form
    12,573.15/18,852.49 = 5,171.50/x
  3. Step 3: Cross multiply
    12,573.15x = 18,852.49 × 5,171.50
  4. Step 4: Simplify right side
    12,573.15x = 97,495,652.04
  5. Step 5: Solve for x
    x = 97,495,652.04/12,573.15
  6. Step 6: Final answer
    x = 7,754.27

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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.