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Finding the Fourth Proportional to 13,005.92, 19,508.75 and 6,762.71

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Solution

The fourth proportional to 13,005.92, 19,508.75 and 6,762.71 is: 10,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.92 : 19,508.75 = 6,762.71 : x
  2. Step 2: Convert to fraction form
    13,005.92/19,508.75 = 6,762.71/x
  3. Step 3: Cross multiply
    13,005.92x = 19,508.75 × 6,762.71
  4. Step 4: Simplify right side
    13,005.92x = 131,932,059.03
  5. Step 5: Solve for x
    x = 131,932,059.03/13,005.92
  6. Step 6: Final answer
    x = 10,144.00

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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.