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Finding the Fourth Proportional to 25,725.72, 38,653.16 and 16,369.80

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Solution

The fourth proportional to 25,725.72, 38,653.16 and 16,369.80 is: 24,595.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,725.72 : 38,653.16 = 16,369.80 : x
  2. Step 2: Convert to fraction form
    25,725.72/38,653.16 = 16,369.80/x
  3. Step 3: Cross multiply
    25,725.72x = 38,653.16 × 16,369.80
  4. Step 4: Simplify right side
    25,725.72x = 632,744,416.72
  5. Step 5: Solve for x
    x = 632,744,416.72/25,725.72
  6. Step 6: Final answer
    x = 24,595.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.