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Finding the Fourth Proportional to 25,772.58, 38,723.67 and 16,416.81

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Solution

The fourth proportional to 25,772.58, 38,723.67 and 16,416.81 is: 24,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,772.58 : 38,723.67 = 16,416.81 : x
  2. Step 2: Convert to fraction form
    25,772.58/38,723.67 = 16,416.81/x
  3. Step 3: Cross multiply
    25,772.58x = 38,723.67 × 16,416.81
  4. Step 4: Simplify right side
    25,772.58x = 635,719,132.89
  5. Step 5: Solve for x
    x = 635,719,132.89/25,772.58
  6. Step 6: Final answer
    x = 24,666.49

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Why These Related Problems?

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