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Finding the Fourth Proportional to 27,847.94, 38,425.34 and 15,742.89

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Solution

The fourth proportional to 27,847.94, 38,425.34 and 15,742.89 is: 21,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.94 : 38,425.34 = 15,742.89 : x
  2. Step 2: Convert to fraction form
    27,847.94/38,425.34 = 15,742.89/x
  3. Step 3: Cross multiply
    27,847.94x = 38,425.34 × 15,742.89
  4. Step 4: Simplify right side
    27,847.94x = 604,925,940.19
  5. Step 5: Solve for x
    x = 604,925,940.19/27,847.94
  6. Step 6: Final answer
    x = 21,722.47

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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.