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Finding the Fourth Proportional to 23,956.88, 35,935.11 and 7,315.29

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Solution

The fourth proportional to 23,956.88, 35,935.11 and 7,315.29 is: 10,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,956.88 : 35,935.11 = 7,315.29 : x
  2. Step 2: Convert to fraction form
    23,956.88/35,935.11 = 7,315.29/x
  3. Step 3: Cross multiply
    23,956.88x = 35,935.11 × 7,315.29
  4. Step 4: Simplify right side
    23,956.88x = 262,875,750.83
  5. Step 5: Solve for x
    x = 262,875,750.83/23,956.88
  6. Step 6: Final answer
    x = 10,972.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.