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Finding the Fourth Proportional to 26,830.80, 40,217.40 and 10,184.40

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Solution

The fourth proportional to 26,830.80, 40,217.40 and 10,184.40 is: 15,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,830.80 : 40,217.40 = 10,184.40 : x
  2. Step 2: Convert to fraction form
    26,830.80/40,217.40 = 10,184.40/x
  3. Step 3: Cross multiply
    26,830.80x = 40,217.40 × 10,184.40
  4. Step 4: Simplify right side
    26,830.80x = 409,590,088.56
  5. Step 5: Solve for x
    x = 409,590,088.56/26,830.80
  6. Step 6: Final answer
    x = 15,265.67

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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.