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Finding the Fourth Proportional to 19,809.68, 27,337.20 and 11,426

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Solution

The fourth proportional to 19,809.68, 27,337.20 and 11,426 is: 15,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809.68 : 27,337.20 = 11,426 : x
  2. Step 2: Convert to fraction form
    19,809.68/27,337.20 = 11,426/x
  3. Step 3: Cross multiply
    19,809.68x = 27,337.20 × 11,426
  4. Step 4: Simplify right side
    19,809.68x = 312,354,847.20
  5. Step 5: Solve for x
    x = 312,354,847.20/19,809.68
  6. Step 6: Final answer
    x = 15,767.79

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