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Finding the Fourth Proportional to 12,465.74, 18,706.77 and 5,892.59

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Solution

The fourth proportional to 12,465.74, 18,706.77 and 5,892.59 is: 8,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.74 : 18,706.77 = 5,892.59 : x
  2. Step 2: Convert to fraction form
    12,465.74/18,706.77 = 5,892.59/x
  3. Step 3: Cross multiply
    12,465.74x = 18,706.77 × 5,892.59
  4. Step 4: Simplify right side
    12,465.74x = 110,231,232.30
  5. Step 5: Solve for x
    x = 110,231,232.30/12,465.74
  6. Step 6: Final answer
    x = 8,842.74

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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.