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Finding the Fourth Proportional to 25,980.34, 35,853.03 and 14,043.65

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Solution

The fourth proportional to 25,980.34, 35,853.03 and 14,043.65 is: 19,380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,980.34 : 35,853.03 = 14,043.65 : x
  2. Step 2: Convert to fraction form
    25,980.34/35,853.03 = 14,043.65/x
  3. Step 3: Cross multiply
    25,980.34x = 35,853.03 × 14,043.65
  4. Step 4: Simplify right side
    25,980.34x = 503,507,190.39
  5. Step 5: Solve for x
    x = 503,507,190.39/25,980.34
  6. Step 6: Final answer
    x = 19,380.32

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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.