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Finding the Fourth Proportional to 12,956.62, 19,423.66 and 6,713.34

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Solution

The fourth proportional to 12,956.62, 19,423.66 and 6,713.34 is: 10,064.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,956.62 : 19,423.66 = 6,713.34 : x
  2. Step 2: Convert to fraction form
    12,956.62/19,423.66 = 6,713.34/x
  3. Step 3: Cross multiply
    12,956.62x = 19,423.66 × 6,713.34
  4. Step 4: Simplify right side
    12,956.62x = 130,397,633.62
  5. Step 5: Solve for x
    x = 130,397,633.62/12,956.62
  6. Step 6: Final answer
    x = 10,064.17

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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.