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Finding the Fourth Proportional to 13,425.50, 20,144.93 and 6,032.63

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Solution

The fourth proportional to 13,425.50, 20,144.93 and 6,032.63 is: 9,051.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.50 : 20,144.93 = 6,032.63 : x
  2. Step 2: Convert to fraction form
    13,425.50/20,144.93 = 6,032.63/x
  3. Step 3: Cross multiply
    13,425.50x = 20,144.93 × 6,032.63
  4. Step 4: Simplify right side
    13,425.50x = 121,526,778.18
  5. Step 5: Solve for x
    x = 121,526,778.18/13,425.50
  6. Step 6: Final answer
    x = 9,051.94

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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.