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Finding the Fourth Proportional to 25,827.70, 38,741.42 and 9,188.34

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Solution

The fourth proportional to 25,827.70, 38,741.42 and 9,188.34 is: 13,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,827.70 : 38,741.42 = 9,188.34 : x
  2. Step 2: Convert to fraction form
    25,827.70/38,741.42 = 9,188.34/x
  3. Step 3: Cross multiply
    25,827.70x = 38,741.42 × 9,188.34
  4. Step 4: Simplify right side
    25,827.70x = 355,969,412.93
  5. Step 5: Solve for x
    x = 355,969,412.93/25,827.70
  6. Step 6: Final answer
    x = 13,782.47

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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.