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Finding the Fourth Proportional to 25,596.74, 35,324.25 and 14,985.38

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Solution

The fourth proportional to 25,596.74, 35,324.25 and 14,985.38 is: 20,680.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596.74 : 35,324.25 = 14,985.38 : x
  2. Step 2: Convert to fraction form
    25,596.74/35,324.25 = 14,985.38/x
  3. Step 3: Cross multiply
    25,596.74x = 35,324.25 × 14,985.38
  4. Step 4: Simplify right side
    25,596.74x = 529,347,309.47
  5. Step 5: Solve for x
    x = 529,347,309.47/25,596.74
  6. Step 6: Final answer
    x = 20,680.26

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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.