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Finding the Fourth Proportional to 16,180.10, 22,325.72 and 9,106.82

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Solution

The fourth proportional to 16,180.10, 22,325.72 and 9,106.82 is: 12,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.10 : 22,325.72 = 9,106.82 : x
  2. Step 2: Convert to fraction form
    16,180.10/22,325.72 = 9,106.82/x
  3. Step 3: Cross multiply
    16,180.10x = 22,325.72 × 9,106.82
  4. Step 4: Simplify right side
    16,180.10x = 203,316,313.41
  5. Step 5: Solve for x
    x = 203,316,313.41/16,180.10
  6. Step 6: Final answer
    x = 12,565.83

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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.