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Finding the Fourth Proportional to 16,457.97, 22,710.34 and 9,287.24

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Solution

The fourth proportional to 16,457.97, 22,710.34 and 9,287.24 is: 12,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.97 : 22,710.34 = 9,287.24 : x
  2. Step 2: Convert to fraction form
    16,457.97/22,710.34 = 9,287.24/x
  3. Step 3: Cross multiply
    16,457.97x = 22,710.34 × 9,287.24
  4. Step 4: Simplify right side
    16,457.97x = 210,916,403.86
  5. Step 5: Solve for x
    x = 210,916,403.86/16,457.97
  6. Step 6: Final answer
    x = 12,815.46

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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.