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Finding the Fourth Proportional to 25,852.92, 38,779.50 and 10,270.50

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Solution

The fourth proportional to 25,852.92, 38,779.50 and 10,270.50 is: 15,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852.92 : 38,779.50 = 10,270.50 : x
  2. Step 2: Convert to fraction form
    25,852.92/38,779.50 = 10,270.50/x
  3. Step 3: Cross multiply
    25,852.92x = 38,779.50 × 10,270.50
  4. Step 4: Simplify right side
    25,852.92x = 398,284,854.75
  5. Step 5: Solve for x
    x = 398,284,854.75/25,852.92
  6. Step 6: Final answer
    x = 15,405.80

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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.