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Finding the Fourth Proportional to 16,457.36, 22,711.16 and 8,903.66

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Solution

The fourth proportional to 16,457.36, 22,711.16 and 8,903.66 is: 12,287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.36 : 22,711.16 = 8,903.66 : x
  2. Step 2: Convert to fraction form
    16,457.36/22,711.16 = 8,903.66/x
  3. Step 3: Cross multiply
    16,457.36x = 22,711.16 × 8,903.66
  4. Step 4: Simplify right side
    16,457.36x = 202,212,355.55
  5. Step 5: Solve for x
    x = 202,212,355.55/16,457.36
  6. Step 6: Final answer
    x = 12,287.05

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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.