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Finding the Fourth Proportional to 18,970.50, 28,420.11 and 17,538.42

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Solution

The fourth proportional to 18,970.50, 28,420.11 and 17,538.42 is: 26,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,970.50 : 28,420.11 = 17,538.42 : x
  2. Step 2: Convert to fraction form
    18,970.50/28,420.11 = 17,538.42/x
  3. Step 3: Cross multiply
    18,970.50x = 28,420.11 × 17,538.42
  4. Step 4: Simplify right side
    18,970.50x = 498,443,825.63
  5. Step 5: Solve for x
    x = 498,443,825.63/18,970.50
  6. Step 6: Final answer
    x = 26,274.68

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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.