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Finding the Fourth Proportional to 13,658.66, 20,442.88 and 9,648.25

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Solution

The fourth proportional to 13,658.66, 20,442.88 and 9,648.25 is: 14,440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.66 : 20,442.88 = 9,648.25 : x
  2. Step 2: Convert to fraction form
    13,658.66/20,442.88 = 9,648.25/x
  3. Step 3: Cross multiply
    13,658.66x = 20,442.88 × 9,648.25
  4. Step 4: Simplify right side
    13,658.66x = 197,237,977.91
  5. Step 5: Solve for x
    x = 197,237,977.91/13,658.66
  6. Step 6: Final answer
    x = 14,440.51

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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.