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Finding the Fourth Proportional to 24,591, 36,886.50 and 8,175

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Solution

The fourth proportional to 24,591, 36,886.50 and 8,175 is: 12,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,591 : 36,886.50 = 8,175 : x
  2. Step 2: Convert to fraction form
    24,591/36,886.50 = 8,175/x
  3. Step 3: Cross multiply
    24,591x = 36,886.50 × 8,175
  4. Step 4: Simplify right side
    24,591x = 301,547,137.50
  5. Step 5: Solve for x
    x = 301,547,137.50/24,591
  6. Step 6: Final answer
    x = 12,262.50

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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.