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Finding the Fourth Proportional to 25,379.51, 35,023.21 and 14,049

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Solution

The fourth proportional to 25,379.51, 35,023.21 and 14,049 is: 19,387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,379.51 : 35,023.21 = 14,049 : x
  2. Step 2: Convert to fraction form
    25,379.51/35,023.21 = 14,049/x
  3. Step 3: Cross multiply
    25,379.51x = 35,023.21 × 14,049
  4. Step 4: Simplify right side
    25,379.51x = 492,041,121.19
  5. Step 5: Solve for x
    x = 492,041,121.19/25,379.51
  6. Step 6: Final answer
    x = 19,387.34

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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.