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Finding the Fourth Proportional to 16,457.64, 22,705.92 and 9,378.96

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Solution

The fourth proportional to 16,457.64, 22,705.92 and 9,378.96 is: 12,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.64 : 22,705.92 = 9,378.96 : x
  2. Step 2: Convert to fraction form
    16,457.64/22,705.92 = 9,378.96/x
  3. Step 3: Cross multiply
    16,457.64x = 22,705.92 × 9,378.96
  4. Step 4: Simplify right side
    16,457.64x = 212,957,915.44
  5. Step 5: Solve for x
    x = 212,957,915.44/16,457.64
  6. Step 6: Final answer
    x = 12,939.76

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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.