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Finding the Fourth Proportional to 25,805.64, 38,708.43 and 17,038.50

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Solution

The fourth proportional to 25,805.64, 38,708.43 and 17,038.50 is: 25,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,805.64 : 38,708.43 = 17,038.50 : x
  2. Step 2: Convert to fraction form
    25,805.64/38,708.43 = 17,038.50/x
  3. Step 3: Cross multiply
    25,805.64x = 38,708.43 × 17,038.50
  4. Step 4: Simplify right side
    25,805.64x = 659,533,584.56
  5. Step 5: Solve for x
    x = 659,533,584.56/25,805.64
  6. Step 6: Final answer
    x = 25,557.73

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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.