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Finding the Fourth Proportional to 26,886.50, 37,101.25 and 14,949.10

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Solution

The fourth proportional to 26,886.50, 37,101.25 and 14,949.10 is: 20,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,886.50 : 37,101.25 = 14,949.10 : x
  2. Step 2: Convert to fraction form
    26,886.50/37,101.25 = 14,949.10/x
  3. Step 3: Cross multiply
    26,886.50x = 37,101.25 × 14,949.10
  4. Step 4: Simplify right side
    26,886.50x = 554,630,296.38
  5. Step 5: Solve for x
    x = 554,630,296.38/26,886.50
  6. Step 6: Final answer
    x = 20,628.58

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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.