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Finding the Fourth Proportional to 25,558, 35,269.76 and 17,912

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Solution

The fourth proportional to 25,558, 35,269.76 and 17,912 is: 24,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,558 : 35,269.76 = 17,912 : x
  2. Step 2: Convert to fraction form
    25,558/35,269.76 = 17,912/x
  3. Step 3: Cross multiply
    25,558x = 35,269.76 × 17,912
  4. Step 4: Simplify right side
    25,558x = 631,751,941.12
  5. Step 5: Solve for x
    x = 631,751,941.12/25,558
  6. Step 6: Final answer
    x = 24,718.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.