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Finding the Fourth Proportional to 12,585.61, 18,878.84 and 3,820.50

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Solution

The fourth proportional to 12,585.61, 18,878.84 and 3,820.50 is: 5,730.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.61 : 18,878.84 = 3,820.50 : x
  2. Step 2: Convert to fraction form
    12,585.61/18,878.84 = 3,820.50/x
  3. Step 3: Cross multiply
    12,585.61x = 18,878.84 × 3,820.50
  4. Step 4: Simplify right side
    12,585.61x = 72,126,603.44
  5. Step 5: Solve for x
    x = 72,126,603.44/12,585.61
  6. Step 6: Final answer
    x = 5,730.88

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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.