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Finding the Fourth Proportional to 26,873.58, 37,085.64 and 14,775

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Solution

The fourth proportional to 26,873.58, 37,085.64 and 14,775 is: 20,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,873.58 : 37,085.64 = 14,775 : x
  2. Step 2: Convert to fraction form
    26,873.58/37,085.64 = 14,775/x
  3. Step 3: Cross multiply
    26,873.58x = 37,085.64 × 14,775
  4. Step 4: Simplify right side
    26,873.58x = 547,940,331
  5. Step 5: Solve for x
    x = 547,940,331/26,873.58
  6. Step 6: Final answer
    x = 20,389.55

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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.