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Finding the Fourth Proportional to 25,658.65, 35,408.25 and 14,327.83

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Solution

The fourth proportional to 25,658.65, 35,408.25 and 14,327.83 is: 19,772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,658.65 : 35,408.25 = 14,327.83 : x
  2. Step 2: Convert to fraction form
    25,658.65/35,408.25 = 14,327.83/x
  3. Step 3: Cross multiply
    25,658.65x = 35,408.25 × 14,327.83
  4. Step 4: Simplify right side
    25,658.65x = 507,323,290.98
  5. Step 5: Solve for x
    x = 507,323,290.98/25,658.65
  6. Step 6: Final answer
    x = 19,772.02

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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.