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Finding the Fourth Proportional to 16,814.12, 25,237.58 and 12,828.11

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Solution

The fourth proportional to 16,814.12, 25,237.58 and 12,828.11 is: 19,254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.12 : 25,237.58 = 12,828.11 : x
  2. Step 2: Convert to fraction form
    16,814.12/25,237.58 = 12,828.11/x
  3. Step 3: Cross multiply
    16,814.12x = 25,237.58 × 12,828.11
  4. Step 4: Simplify right side
    16,814.12x = 323,750,262.05
  5. Step 5: Solve for x
    x = 323,750,262.05/16,814.12
  6. Step 6: Final answer
    x = 19,254.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.