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Finding the Fourth Proportional to 12,585.90, 18,878.77 and 4,271.77

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Solution

The fourth proportional to 12,585.90, 18,878.77 and 4,271.77 is: 6,407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.90 : 18,878.77 = 4,271.77 : x
  2. Step 2: Convert to fraction form
    12,585.90/18,878.77 = 4,271.77/x
  3. Step 3: Cross multiply
    12,585.90x = 18,878.77 × 4,271.77
  4. Step 4: Simplify right side
    12,585.90x = 80,645,705.45
  5. Step 5: Solve for x
    x = 80,645,705.45/12,585.90
  6. Step 6: Final answer
    x = 6,407.62

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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.