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Finding the Fourth Proportional to 12,688.92, 19,038.84 and 6,838.68

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Solution

The fourth proportional to 12,688.92, 19,038.84 and 6,838.68 is: 10,260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.92 : 19,038.84 = 6,838.68 : x
  2. Step 2: Convert to fraction form
    12,688.92/19,038.84 = 6,838.68/x
  3. Step 3: Cross multiply
    12,688.92x = 19,038.84 × 6,838.68
  4. Step 4: Simplify right side
    12,688.92x = 130,200,534.33
  5. Step 5: Solve for x
    x = 130,200,534.33/12,688.92
  6. Step 6: Final answer
    x = 10,260.96

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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.