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Finding the Fourth Proportional to 25,419.08, 35,078.42 and 14,241

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Solution

The fourth proportional to 25,419.08, 35,078.42 and 14,241 is: 19,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,419.08 : 35,078.42 = 14,241 : x
  2. Step 2: Convert to fraction form
    25,419.08/35,078.42 = 14,241/x
  3. Step 3: Cross multiply
    25,419.08x = 35,078.42 × 14,241
  4. Step 4: Simplify right side
    25,419.08x = 499,551,779.22
  5. Step 5: Solve for x
    x = 499,551,779.22/25,419.08
  6. Step 6: Final answer
    x = 19,652.63

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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.