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Finding the Fourth Proportional to 26,953.76, 40,405.64 and 13,777.08

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Solution

The fourth proportional to 26,953.76, 40,405.64 and 13,777.08 is: 20,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,953.76 : 40,405.64 = 13,777.08 : x
  2. Step 2: Convert to fraction form
    26,953.76/40,405.64 = 13,777.08/x
  3. Step 3: Cross multiply
    26,953.76x = 40,405.64 × 13,777.08
  4. Step 4: Simplify right side
    26,953.76x = 556,671,734.73
  5. Step 5: Solve for x
    x = 556,671,734.73/26,953.76
  6. Step 6: Final answer
    x = 20,652.84

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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.