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Finding the Fourth Proportional to 26,884.64, 37,101.66 and 14,948.48

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Solution

The fourth proportional to 26,884.64, 37,101.66 and 14,948.48 is: 20,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,884.64 : 37,101.66 = 14,948.48 : x
  2. Step 2: Convert to fraction form
    26,884.64/37,101.66 = 14,948.48/x
  3. Step 3: Cross multiply
    26,884.64x = 37,101.66 × 14,948.48
  4. Step 4: Simplify right side
    26,884.64x = 554,613,422.48
  5. Step 5: Solve for x
    x = 554,613,422.48/26,884.64
  6. Step 6: Final answer
    x = 20,629.38

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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.