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Finding the Fourth Proportional to 16,505.10, 22,774.94 and 9,431.98

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Solution

The fourth proportional to 16,505.10, 22,774.94 and 9,431.98 is: 13,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.10 : 22,774.94 = 9,431.98 : x
  2. Step 2: Convert to fraction form
    16,505.10/22,774.94 = 9,431.98/x
  3. Step 3: Cross multiply
    16,505.10x = 22,774.94 × 9,431.98
  4. Step 4: Simplify right side
    16,505.10x = 214,812,778.58
  5. Step 5: Solve for x
    x = 214,812,778.58/16,505.10
  6. Step 6: Final answer
    x = 13,014.93

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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.