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Finding the Fourth Proportional to 16,215.84, 22,376.52 and 9,144

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Solution

The fourth proportional to 16,215.84, 22,376.52 and 9,144 is: 12,617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215.84 : 22,376.52 = 9,144 : x
  2. Step 2: Convert to fraction form
    16,215.84/22,376.52 = 9,144/x
  3. Step 3: Cross multiply
    16,215.84x = 22,376.52 × 9,144
  4. Step 4: Simplify right side
    16,215.84x = 204,610,898.88
  5. Step 5: Solve for x
    x = 204,610,898.88/16,215.84
  6. Step 6: Final answer
    x = 12,617.96

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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.