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Finding the Fourth Proportional to 25,697.60, 35,462.45 and 14,212.51

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Solution

The fourth proportional to 25,697.60, 35,462.45 and 14,212.51 is: 19,613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.60 : 35,462.45 = 14,212.51 : x
  2. Step 2: Convert to fraction form
    25,697.60/35,462.45 = 14,212.51/x
  3. Step 3: Cross multiply
    25,697.60x = 35,462.45 × 14,212.51
  4. Step 4: Simplify right side
    25,697.60x = 504,010,337.20
  5. Step 5: Solve for x
    x = 504,010,337.20/25,697.60
  6. Step 6: Final answer
    x = 19,613.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.