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Finding the Fourth Proportional to 34,011.36, 51,007.32 and 13,230

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Solution

The fourth proportional to 34,011.36, 51,007.32 and 13,230 is: 19,841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,011.36 : 51,007.32 = 13,230 : x
  2. Step 2: Convert to fraction form
    34,011.36/51,007.32 = 13,230/x
  3. Step 3: Cross multiply
    34,011.36x = 51,007.32 × 13,230
  4. Step 4: Simplify right side
    34,011.36x = 674,826,843.60
  5. Step 5: Solve for x
    x = 674,826,843.60/34,011.36
  6. Step 6: Final answer
    x = 19,841.22

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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.