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Finding the Fourth Proportional to 12,814.58, 19,222.29 and 5,419.28

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Solution

The fourth proportional to 12,814.58, 19,222.29 and 5,419.28 is: 8,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.58 : 19,222.29 = 5,419.28 : x
  2. Step 2: Convert to fraction form
    12,814.58/19,222.29 = 5,419.28/x
  3. Step 3: Cross multiply
    12,814.58x = 19,222.29 × 5,419.28
  4. Step 4: Simplify right side
    12,814.58x = 104,170,971.75
  5. Step 5: Solve for x
    x = 104,170,971.75/12,814.58
  6. Step 6: Final answer
    x = 8,129.10

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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.