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Finding the Fourth Proportional to 16,802.24, 23,187.84 and 9,350.24

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Solution

The fourth proportional to 16,802.24, 23,187.84 and 9,350.24 is: 12,903.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802.24 : 23,187.84 = 9,350.24 : x
  2. Step 2: Convert to fraction form
    16,802.24/23,187.84 = 9,350.24/x
  3. Step 3: Cross multiply
    16,802.24x = 23,187.84 × 9,350.24
  4. Step 4: Simplify right side
    16,802.24x = 216,811,869.08
  5. Step 5: Solve for x
    x = 216,811,869.08/16,802.24
  6. Step 6: Final answer
    x = 12,903.75

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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.