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Finding the Fourth Proportional to 26,071.49, 35,978.44 and 14,743.21

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Solution

The fourth proportional to 26,071.49, 35,978.44 and 14,743.21 is: 20,345.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,071.49 : 35,978.44 = 14,743.21 : x
  2. Step 2: Convert to fraction form
    26,071.49/35,978.44 = 14,743.21/x
  3. Step 3: Cross multiply
    26,071.49x = 35,978.44 × 14,743.21
  4. Step 4: Simplify right side
    26,071.49x = 530,437,613.48
  5. Step 5: Solve for x
    x = 530,437,613.48/26,071.49
  6. Step 6: Final answer
    x = 20,345.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.