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Finding the Fourth Proportional to 12,405.66, 18,597.55 and 4,609

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Solution

The fourth proportional to 12,405.66, 18,597.55 and 4,609 is: 6,909.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.66 : 18,597.55 = 4,609 : x
  2. Step 2: Convert to fraction form
    12,405.66/18,597.55 = 4,609/x
  3. Step 3: Cross multiply
    12,405.66x = 18,597.55 × 4,609
  4. Step 4: Simplify right side
    12,405.66x = 85,716,107.95
  5. Step 5: Solve for x
    x = 85,716,107.95/12,405.66
  6. Step 6: Final answer
    x = 6,909.44

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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.