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Finding the Fourth Proportional to 26,937.28, 40,415.64 and 9,409.68

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Solution

The fourth proportional to 26,937.28, 40,415.64 and 9,409.68 is: 14,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,937.28 : 40,415.64 = 9,409.68 : x
  2. Step 2: Convert to fraction form
    26,937.28/40,415.64 = 9,409.68/x
  3. Step 3: Cross multiply
    26,937.28x = 40,415.64 × 9,409.68
  4. Step 4: Simplify right side
    26,937.28x = 380,298,239.40
  5. Step 5: Solve for x
    x = 380,298,239.40/26,937.28
  6. Step 6: Final answer
    x = 14,117.92

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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.