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Finding the Fourth Proportional to 13,658.42, 20,495.59 and 5,760.45

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Solution

The fourth proportional to 13,658.42, 20,495.59 and 5,760.45 is: 8,644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.42 : 20,495.59 = 5,760.45 : x
  2. Step 2: Convert to fraction form
    13,658.42/20,495.59 = 5,760.45/x
  3. Step 3: Cross multiply
    13,658.42x = 20,495.59 × 5,760.45
  4. Step 4: Simplify right side
    13,658.42x = 118,063,821.42
  5. Step 5: Solve for x
    x = 118,063,821.42/13,658.42
  6. Step 6: Final answer
    x = 8,644.03

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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.