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Finding the Fourth Proportional to 19,219.56, 26,523.78 and 12,143.40

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Solution

The fourth proportional to 19,219.56, 26,523.78 and 12,143.40 is: 16,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,219.56 : 26,523.78 = 12,143.40 : x
  2. Step 2: Convert to fraction form
    19,219.56/26,523.78 = 12,143.40/x
  3. Step 3: Cross multiply
    19,219.56x = 26,523.78 × 12,143.40
  4. Step 4: Simplify right side
    19,219.56x = 322,088,870.05
  5. Step 5: Solve for x
    x = 322,088,870.05/19,219.56
  6. Step 6: Final answer
    x = 16,758.39

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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.