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Finding the Fourth Proportional to 13,442.84, 18,559.43 and 8,664.47

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Solution

The fourth proportional to 13,442.84, 18,559.43 and 8,664.47 is: 11,962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.84 : 18,559.43 = 8,664.47 : x
  2. Step 2: Convert to fraction form
    13,442.84/18,559.43 = 8,664.47/x
  3. Step 3: Cross multiply
    13,442.84x = 18,559.43 × 8,664.47
  4. Step 4: Simplify right side
    13,442.84x = 160,807,624.45
  5. Step 5: Solve for x
    x = 160,807,624.45/13,442.84
  6. Step 6: Final answer
    x = 11,962.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.