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Finding the Fourth Proportional to 25,535, 38,308.26 and 8,003

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Solution

The fourth proportional to 25,535, 38,308.26 and 8,003 is: 12,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,535 : 38,308.26 = 8,003 : x
  2. Step 2: Convert to fraction form
    25,535/38,308.26 = 8,003/x
  3. Step 3: Cross multiply
    25,535x = 38,308.26 × 8,003
  4. Step 4: Simplify right side
    25,535x = 306,581,004.78
  5. Step 5: Solve for x
    x = 306,581,004.78/25,535
  6. Step 6: Final answer
    x = 12,006.31

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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.