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Finding the Fourth Proportional to 23,657.84, 35,482.92 and 7,238

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Solution

The fourth proportional to 23,657.84, 35,482.92 and 7,238 is: 10,855.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.84 : 35,482.92 = 7,238 : x
  2. Step 2: Convert to fraction form
    23,657.84/35,482.92 = 7,238/x
  3. Step 3: Cross multiply
    23,657.84x = 35,482.92 × 7,238
  4. Step 4: Simplify right side
    23,657.84x = 256,825,374.96
  5. Step 5: Solve for x
    x = 256,825,374.96/23,657.84
  6. Step 6: Final answer
    x = 10,855.83

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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.