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Finding the Fourth Proportional to 21,605.70, 32,395.59 and 8,442.39

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Solution

The fourth proportional to 21,605.70, 32,395.59 and 8,442.39 is: 12,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,605.70 : 32,395.59 = 8,442.39 : x
  2. Step 2: Convert to fraction form
    21,605.70/32,395.59 = 8,442.39/x
  3. Step 3: Cross multiply
    21,605.70x = 32,395.59 × 8,442.39
  4. Step 4: Simplify right side
    21,605.70x = 273,496,205.06
  5. Step 5: Solve for x
    x = 273,496,205.06/21,605.70
  6. Step 6: Final answer
    x = 12,658.52

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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.