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Finding the Fourth Proportional to 26,957.38, 40,430.50 and 7,231.26

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Solution

The fourth proportional to 26,957.38, 40,430.50 and 7,231.26 is: 10,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,957.38 : 40,430.50 = 7,231.26 : x
  2. Step 2: Convert to fraction form
    26,957.38/40,430.50 = 7,231.26/x
  3. Step 3: Cross multiply
    26,957.38x = 40,430.50 × 7,231.26
  4. Step 4: Simplify right side
    26,957.38x = 292,363,457.43
  5. Step 5: Solve for x
    x = 292,363,457.43/26,957.38
  6. Step 6: Final answer
    x = 10,845.40

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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.