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Finding the Fourth Proportional to 26,903.84, 40,358.24 and 7,182.40

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Solution

The fourth proportional to 26,903.84, 40,358.24 and 7,182.40 is: 10,774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,903.84 : 40,358.24 = 7,182.40 : x
  2. Step 2: Convert to fraction form
    26,903.84/40,358.24 = 7,182.40/x
  3. Step 3: Cross multiply
    26,903.84x = 40,358.24 × 7,182.40
  4. Step 4: Simplify right side
    26,903.84x = 289,869,022.98
  5. Step 5: Solve for x
    x = 289,869,022.98/26,903.84
  6. Step 6: Final answer
    x = 10,774.26

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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.