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Finding the Fourth Proportional to 25,559.50, 38,339.26 and 7,091.50

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Solution

The fourth proportional to 25,559.50, 38,339.26 and 7,091.50 is: 10,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,559.50 : 38,339.26 = 7,091.50 : x
  2. Step 2: Convert to fraction form
    25,559.50/38,339.26 = 7,091.50/x
  3. Step 3: Cross multiply
    25,559.50x = 38,339.26 × 7,091.50
  4. Step 4: Simplify right side
    25,559.50x = 271,882,862.29
  5. Step 5: Solve for x
    x = 271,882,862.29/25,559.50
  6. Step 6: Final answer
    x = 10,637.25

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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.