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Finding the Fourth Proportional to 26,297.30, 36,289.98 and 14,361.14

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Solution

The fourth proportional to 26,297.30, 36,289.98 and 14,361.14 is: 19,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,297.30 : 36,289.98 = 14,361.14 : x
  2. Step 2: Convert to fraction form
    26,297.30/36,289.98 = 14,361.14/x
  3. Step 3: Cross multiply
    26,297.30x = 36,289.98 × 14,361.14
  4. Step 4: Simplify right side
    26,297.30x = 521,165,483.38
  5. Step 5: Solve for x
    x = 521,165,483.38/26,297.30
  6. Step 6: Final answer
    x = 19,818.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.