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Finding the Fourth Proportional to 26,729.84, 40,068.30 and 12,665

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Solution

The fourth proportional to 26,729.84, 40,068.30 and 12,665 is: 18,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,729.84 : 40,068.30 = 12,665 : x
  2. Step 2: Convert to fraction form
    26,729.84/40,068.30 = 12,665/x
  3. Step 3: Cross multiply
    26,729.84x = 40,068.30 × 12,665
  4. Step 4: Simplify right side
    26,729.84x = 507,465,019.50
  5. Step 5: Solve for x
    x = 507,465,019.50/26,729.84
  6. Step 6: Final answer
    x = 18,984.96

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Why These Related Problems?

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