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Finding the Fourth Proportional to 16,354.50, 22,571.64 and 9,637.98

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Solution

The fourth proportional to 16,354.50, 22,571.64 and 9,637.98 is: 13,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,354.50 : 22,571.64 = 9,637.98 : x
  2. Step 2: Convert to fraction form
    16,354.50/22,571.64 = 9,637.98/x
  3. Step 3: Cross multiply
    16,354.50x = 22,571.64 × 9,637.98
  4. Step 4: Simplify right side
    16,354.50x = 217,545,014.89
  5. Step 5: Solve for x
    x = 217,545,014.89/16,354.50
  6. Step 6: Final answer
    x = 13,301.84

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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.