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Finding the Fourth Proportional to 27,037.40, 40,556.08 and 9,503.16

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Solution

The fourth proportional to 27,037.40, 40,556.08 and 9,503.16 is: 14,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,037.40 : 40,556.08 = 9,503.16 : x
  2. Step 2: Convert to fraction form
    27,037.40/40,556.08 = 9,503.16/x
  3. Step 3: Cross multiply
    27,037.40x = 40,556.08 × 9,503.16
  4. Step 4: Simplify right side
    27,037.40x = 385,410,917.21
  5. Step 5: Solve for x
    x = 385,410,917.21/27,037.40
  6. Step 6: Final answer
    x = 14,254.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.