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Finding the Fourth Proportional to 25,596.57, 38,345.44 and 14,469.20

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Solution

The fourth proportional to 25,596.57, 38,345.44 and 14,469.20 is: 21,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596.57 : 38,345.44 = 14,469.20 : x
  2. Step 2: Convert to fraction form
    25,596.57/38,345.44 = 14,469.20/x
  3. Step 3: Cross multiply
    25,596.57x = 38,345.44 × 14,469.20
  4. Step 4: Simplify right side
    25,596.57x = 554,827,840.45
  5. Step 5: Solve for x
    x = 554,827,840.45/25,596.57
  6. Step 6: Final answer
    x = 21,675.87

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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.