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Finding the Fourth Proportional to 25,459.62, 35,134.64 and 14,129.84

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Solution

The fourth proportional to 25,459.62, 35,134.64 and 14,129.84 is: 19,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,459.62 : 35,134.64 = 14,129.84 : x
  2. Step 2: Convert to fraction form
    25,459.62/35,134.64 = 14,129.84/x
  3. Step 3: Cross multiply
    25,459.62x = 35,134.64 × 14,129.84
  4. Step 4: Simplify right side
    25,459.62x = 496,446,991.31
  5. Step 5: Solve for x
    x = 496,446,991.31/25,459.62
  6. Step 6: Final answer
    x = 19,499.39

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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.