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Finding the Fourth Proportional to 27,297.91, 40,870.83 and 13,941.99

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Solution

The fourth proportional to 27,297.91, 40,870.83 and 13,941.99 is: 20,874.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,297.91 : 40,870.83 = 13,941.99 : x
  2. Step 2: Convert to fraction form
    27,297.91/40,870.83 = 13,941.99/x
  3. Step 3: Cross multiply
    27,297.91x = 40,870.83 × 13,941.99
  4. Step 4: Simplify right side
    27,297.91x = 569,820,703.15
  5. Step 5: Solve for x
    x = 569,820,703.15/27,297.91
  6. Step 6: Final answer
    x = 20,874.15

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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.