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Finding the Fourth Proportional to 25,605.50, 38,407.08 and 8,969.27

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Solution

The fourth proportional to 25,605.50, 38,407.08 and 8,969.27 is: 13,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,605.50 : 38,407.08 = 8,969.27 : x
  2. Step 2: Convert to fraction form
    25,605.50/38,407.08 = 8,969.27/x
  3. Step 3: Cross multiply
    25,605.50x = 38,407.08 × 8,969.27
  4. Step 4: Simplify right side
    25,605.50x = 344,483,278.40
  5. Step 5: Solve for x
    x = 344,483,278.40/25,605.50
  6. Step 6: Final answer
    x = 13,453.49

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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.