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Finding the Fourth Proportional to 13,658.39, 20,495.54 and 5,760.41

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Solution

The fourth proportional to 13,658.39, 20,495.54 and 5,760.41 is: 8,643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.39 : 20,495.54 = 5,760.41 : x
  2. Step 2: Convert to fraction form
    13,658.39/20,495.54 = 5,760.41/x
  3. Step 3: Cross multiply
    13,658.39x = 20,495.54 × 5,760.41
  4. Step 4: Simplify right side
    13,658.39x = 118,062,779.21
  5. Step 5: Solve for x
    x = 118,062,779.21/13,658.39
  6. Step 6: Final answer
    x = 8,643.98

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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.