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Finding the Fourth Proportional to 12,838.76, 19,262.92 and 7,851.36

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Solution

The fourth proportional to 12,838.76, 19,262.92 and 7,851.36 is: 11,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.76 : 19,262.92 = 7,851.36 : x
  2. Step 2: Convert to fraction form
    12,838.76/19,262.92 = 7,851.36/x
  3. Step 3: Cross multiply
    12,838.76x = 19,262.92 × 7,851.36
  4. Step 4: Simplify right side
    12,838.76x = 151,240,119.57
  5. Step 5: Solve for x
    x = 151,240,119.57/12,838.76
  6. Step 6: Final answer
    x = 11,779.96

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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.