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Finding the Fourth Proportional to 16,457.63, 22,711.53 and 9,005.63

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Solution

The fourth proportional to 16,457.63, 22,711.53 and 9,005.63 is: 12,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.63 : 22,711.53 = 9,005.63 : x
  2. Step 2: Convert to fraction form
    16,457.63/22,711.53 = 9,005.63/x
  3. Step 3: Cross multiply
    16,457.63x = 22,711.53 × 9,005.63
  4. Step 4: Simplify right side
    16,457.63x = 204,531,522.36
  5. Step 5: Solve for x
    x = 204,531,522.36/16,457.63
  6. Step 6: Final answer
    x = 12,427.77

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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.