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Finding the Fourth Proportional to 25,820.34, 38,722.76 and 9,178.19

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Solution

The fourth proportional to 25,820.34, 38,722.76 and 9,178.19 is: 13,764.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,820.34 : 38,722.76 = 9,178.19 : x
  2. Step 2: Convert to fraction form
    25,820.34/38,722.76 = 9,178.19/x
  3. Step 3: Cross multiply
    25,820.34x = 38,722.76 × 9,178.19
  4. Step 4: Simplify right side
    25,820.34x = 355,404,609.10
  5. Step 5: Solve for x
    x = 355,404,609.10/25,820.34
  6. Step 6: Final answer
    x = 13,764.52

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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.