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Finding the Fourth Proportional to 12,362.24, 18,543.28 and 4,567.84

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Solution

The fourth proportional to 12,362.24, 18,543.28 and 4,567.84 is: 6,851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,362.24 : 18,543.28 = 4,567.84 : x
  2. Step 2: Convert to fraction form
    12,362.24/18,543.28 = 4,567.84/x
  3. Step 3: Cross multiply
    12,362.24x = 18,543.28 × 4,567.84
  4. Step 4: Simplify right side
    12,362.24x = 84,702,736.12
  5. Step 5: Solve for x
    x = 84,702,736.12/12,362.24
  6. Step 6: Final answer
    x = 6,851.73

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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.