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Finding the Fourth Proportional to 23,445.84, 35,164.92 and 7,026

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Solution

The fourth proportional to 23,445.84, 35,164.92 and 7,026 is: 10,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,445.84 : 35,164.92 = 7,026 : x
  2. Step 2: Convert to fraction form
    23,445.84/35,164.92 = 7,026/x
  3. Step 3: Cross multiply
    23,445.84x = 35,164.92 × 7,026
  4. Step 4: Simplify right side
    23,445.84x = 247,068,727.92
  5. Step 5: Solve for x
    x = 247,068,727.92/23,445.84
  6. Step 6: Final answer
    x = 10,537.85

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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.