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Finding the Fourth Proportional to 12,585.57, 18,878.40 and 3,820.47

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Solution

The fourth proportional to 12,585.57, 18,878.40 and 3,820.47 is: 5,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.57 : 18,878.40 = 3,820.47 : x
  2. Step 2: Convert to fraction form
    12,585.57/18,878.40 = 3,820.47/x
  3. Step 3: Cross multiply
    12,585.57x = 18,878.40 × 3,820.47
  4. Step 4: Simplify right side
    12,585.57x = 72,124,360.85
  5. Step 5: Solve for x
    x = 72,124,360.85/12,585.57
  6. Step 6: Final answer
    x = 5,730.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.