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Finding the Fourth Proportional to 16,510.96, 22,790.19 and 9,442.09

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Solution

The fourth proportional to 16,510.96, 22,790.19 and 9,442.09 is: 13,032.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.96 : 22,790.19 = 9,442.09 : x
  2. Step 2: Convert to fraction form
    16,510.96/22,790.19 = 9,442.09/x
  3. Step 3: Cross multiply
    16,510.96x = 22,790.19 × 9,442.09
  4. Step 4: Simplify right side
    16,510.96x = 215,187,025.10
  5. Step 5: Solve for x
    x = 215,187,025.10/16,510.96
  6. Step 6: Final answer
    x = 13,032.98

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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.