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Finding the Fourth Proportional to 16,157.78, 22,288.64 and 9,441.98

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Solution

The fourth proportional to 16,157.78, 22,288.64 and 9,441.98 is: 13,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.78 : 22,288.64 = 9,441.98 : x
  2. Step 2: Convert to fraction form
    16,157.78/22,288.64 = 9,441.98/x
  3. Step 3: Cross multiply
    16,157.78x = 22,288.64 × 9,441.98
  4. Step 4: Simplify right side
    16,157.78x = 210,448,893.11
  5. Step 5: Solve for x
    x = 210,448,893.11/16,157.78
  6. Step 6: Final answer
    x = 13,024.62

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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.