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Finding the Fourth Proportional to 12,991.14, 17,931.38 and 7,688.88

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Solution

The fourth proportional to 12,991.14, 17,931.38 and 7,688.88 is: 10,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.14 : 17,931.38 = 7,688.88 : x
  2. Step 2: Convert to fraction form
    12,991.14/17,931.38 = 7,688.88/x
  3. Step 3: Cross multiply
    12,991.14x = 17,931.38 × 7,688.88
  4. Step 4: Simplify right side
    12,991.14x = 137,872,190.61
  5. Step 5: Solve for x
    x = 137,872,190.61/12,991.14
  6. Step 6: Final answer
    x = 10,612.79

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Why These Related Problems?

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