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Finding the Fourth Proportional to 16,819.66, 23,215.25 and 9,750.19

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Solution

The fourth proportional to 16,819.66, 23,215.25 and 9,750.19 is: 13,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,819.66 : 23,215.25 = 9,750.19 : x
  2. Step 2: Convert to fraction form
    16,819.66/23,215.25 = 9,750.19/x
  3. Step 3: Cross multiply
    16,819.66x = 23,215.25 × 9,750.19
  4. Step 4: Simplify right side
    16,819.66x = 226,353,098.40
  5. Step 5: Solve for x
    x = 226,353,098.40/16,819.66
  6. Step 6: Final answer
    x = 13,457.65

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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.