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Finding the Fourth Proportional to 12,406.92, 17,124.90 and 7,688.64

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Solution

The fourth proportional to 12,406.92, 17,124.90 and 7,688.64 is: 10,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.92 : 17,124.90 = 7,688.64 : x
  2. Step 2: Convert to fraction form
    12,406.92/17,124.90 = 7,688.64/x
  3. Step 3: Cross multiply
    12,406.92x = 17,124.90 × 7,688.64
  4. Step 4: Simplify right side
    12,406.92x = 131,667,191.14
  5. Step 5: Solve for x
    x = 131,667,191.14/12,406.92
  6. Step 6: Final answer
    x = 10,612.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.