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Finding the Fourth Proportional to 25,833.40, 38,735.55 and 8,958.50

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Solution

The fourth proportional to 25,833.40, 38,735.55 and 8,958.50 is: 13,432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,833.40 : 38,735.55 = 8,958.50 : x
  2. Step 2: Convert to fraction form
    25,833.40/38,735.55 = 8,958.50/x
  3. Step 3: Cross multiply
    25,833.40x = 38,735.55 × 8,958.50
  4. Step 4: Simplify right side
    25,833.40x = 347,012,376.26
  5. Step 5: Solve for x
    x = 347,012,376.26/25,833.40
  6. Step 6: Final answer
    x = 13,432.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.