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Finding the Fourth Proportional to 25,339.96, 38,014.26 and 7,809.40

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Solution

The fourth proportional to 25,339.96, 38,014.26 and 7,809.40 is: 11,715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,339.96 : 38,014.26 = 7,809.40 : x
  2. Step 2: Convert to fraction form
    25,339.96/38,014.26 = 7,809.40/x
  3. Step 3: Cross multiply
    25,339.96x = 38,014.26 × 7,809.40
  4. Step 4: Simplify right side
    25,339.96x = 296,868,562.04
  5. Step 5: Solve for x
    x = 296,868,562.04/25,339.96
  6. Step 6: Final answer
    x = 11,715.43

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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.