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Finding the Fourth Proportional to 12,585.60, 18,880.68 and 5,185.94

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Solution

The fourth proportional to 12,585.60, 18,880.68 and 5,185.94 is: 7,779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.60 : 18,880.68 = 5,185.94 : x
  2. Step 2: Convert to fraction form
    12,585.60/18,880.68 = 5,185.94/x
  3. Step 3: Cross multiply
    12,585.60x = 18,880.68 × 5,185.94
  4. Step 4: Simplify right side
    12,585.60x = 97,914,101.39
  5. Step 5: Solve for x
    x = 97,914,101.39/12,585.60
  6. Step 6: Final answer
    x = 7,779.85

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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.