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Finding the Fourth Proportional to 27,142.69, 40,653.88 and 20,856.43

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Solution

The fourth proportional to 27,142.69, 40,653.88 and 20,856.43 is: 31,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.69 : 40,653.88 = 20,856.43 : x
  2. Step 2: Convert to fraction form
    27,142.69/40,653.88 = 20,856.43/x
  3. Step 3: Cross multiply
    27,142.69x = 40,653.88 × 20,856.43
  4. Step 4: Simplify right side
    27,142.69x = 847,894,802.45
  5. Step 5: Solve for x
    x = 847,894,802.45/27,142.69
  6. Step 6: Final answer
    x = 31,238.42

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