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Finding the Fourth Proportional to 12,405.93, 18,567.30 and 10,184.64

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Solution

The fourth proportional to 12,405.93, 18,567.30 and 10,184.64 is: 15,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.93 : 18,567.30 = 10,184.64 : x
  2. Step 2: Convert to fraction form
    12,405.93/18,567.30 = 10,184.64/x
  3. Step 3: Cross multiply
    12,405.93x = 18,567.30 × 10,184.64
  4. Step 4: Simplify right side
    12,405.93x = 189,101,266.27
  5. Step 5: Solve for x
    x = 189,101,266.27/12,405.93
  6. Step 6: Final answer
    x = 15,242.81

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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.