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Finding the Fourth Proportional to 23,956.70, 35,934.29 and 7,316.06

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Solution

The fourth proportional to 23,956.70, 35,934.29 and 7,316.06 is: 10,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,956.70 : 35,934.29 = 7,316.06 : x
  2. Step 2: Convert to fraction form
    23,956.70/35,934.29 = 7,316.06/x
  3. Step 3: Cross multiply
    23,956.70x = 35,934.29 × 7,316.06
  4. Step 4: Simplify right side
    23,956.70x = 262,897,529.82
  5. Step 5: Solve for x
    x = 262,897,529.82/23,956.70
  6. Step 6: Final answer
    x = 10,973.86

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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.