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Finding the Fourth Proportional to 12,465.78, 18,693.38 and 4,143.56

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Solution

The fourth proportional to 12,465.78, 18,693.38 and 4,143.56 is: 6,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.78 : 18,693.38 = 4,143.56 : x
  2. Step 2: Convert to fraction form
    12,465.78/18,693.38 = 4,143.56/x
  3. Step 3: Cross multiply
    12,465.78x = 18,693.38 × 4,143.56
  4. Step 4: Simplify right side
    12,465.78x = 77,457,141.63
  5. Step 5: Solve for x
    x = 77,457,141.63/12,465.78
  6. Step 6: Final answer
    x = 6,213.58

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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.