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Finding the Fourth Proportional to 13,022.12, 19,542.88 and 7,478.12

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Solution

The fourth proportional to 13,022.12, 19,542.88 and 7,478.12 is: 11,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.12 : 19,542.88 = 7,478.12 : x
  2. Step 2: Convert to fraction form
    13,022.12/19,542.88 = 7,478.12/x
  3. Step 3: Cross multiply
    13,022.12x = 19,542.88 × 7,478.12
  4. Step 4: Simplify right side
    13,022.12x = 146,144,001.79
  5. Step 5: Solve for x
    x = 146,144,001.79/13,022.12
  6. Step 6: Final answer
    x = 11,222.75

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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.