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Finding the Fourth Proportional to 25,782.96, 35,597.43 and 19,803.81

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Solution

The fourth proportional to 25,782.96, 35,597.43 and 19,803.81 is: 27,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,782.96 : 35,597.43 = 19,803.81 : x
  2. Step 2: Convert to fraction form
    25,782.96/35,597.43 = 19,803.81/x
  3. Step 3: Cross multiply
    25,782.96x = 35,597.43 × 19,803.81
  4. Step 4: Simplify right side
    25,782.96x = 704,964,740.21
  5. Step 5: Solve for x
    x = 704,964,740.21/25,782.96
  6. Step 6: Final answer
    x = 27,342.27

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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.