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Finding the Fourth Proportional to 17,742.60, 26,613.90 and 7,374.60

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Solution

The fourth proportional to 17,742.60, 26,613.90 and 7,374.60 is: 11,061.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.60 : 26,613.90 = 7,374.60 : x
  2. Step 2: Convert to fraction form
    17,742.60/26,613.90 = 7,374.60/x
  3. Step 3: Cross multiply
    17,742.60x = 26,613.90 × 7,374.60
  4. Step 4: Simplify right side
    17,742.60x = 196,266,866.94
  5. Step 5: Solve for x
    x = 196,266,866.94/17,742.60
  6. Step 6: Final answer
    x = 11,061.90

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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.