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Finding the Fourth Proportional to 16,564.48, 22,858.80 and 12,334.46

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Solution

The fourth proportional to 16,564.48, 22,858.80 and 12,334.46 is: 17,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.48 : 22,858.80 = 12,334.46 : x
  2. Step 2: Convert to fraction form
    16,564.48/22,858.80 = 12,334.46/x
  3. Step 3: Cross multiply
    16,564.48x = 22,858.80 × 12,334.46
  4. Step 4: Simplify right side
    16,564.48x = 281,950,892.58
  5. Step 5: Solve for x
    x = 281,950,892.58/16,564.48
  6. Step 6: Final answer
    x = 17,021.42

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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.