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Finding the Fourth Proportional to 16,427.92, 22,670.82 and 9,355

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Solution

The fourth proportional to 16,427.92, 22,670.82 and 9,355 is: 12,910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.92 : 22,670.82 = 9,355 : x
  2. Step 2: Convert to fraction form
    16,427.92/22,670.82 = 9,355/x
  3. Step 3: Cross multiply
    16,427.92x = 22,670.82 × 9,355
  4. Step 4: Simplify right side
    16,427.92x = 212,085,521.10
  5. Step 5: Solve for x
    x = 212,085,521.10/16,427.92
  6. Step 6: Final answer
    x = 12,910.07

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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.