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Finding the Fourth Proportional to 25,063.84, 37,587.12 and 8,644

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Solution

The fourth proportional to 25,063.84, 37,587.12 and 8,644 is: 12,963.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,063.84 : 37,587.12 = 8,644 : x
  2. Step 2: Convert to fraction form
    25,063.84/37,587.12 = 8,644/x
  3. Step 3: Cross multiply
    25,063.84x = 37,587.12 × 8,644
  4. Step 4: Simplify right side
    25,063.84x = 324,903,065.28
  5. Step 5: Solve for x
    x = 324,903,065.28/25,063.84
  6. Step 6: Final answer
    x = 12,963.02

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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.