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Finding the Fourth Proportional to 12,354.80, 18,541.94 and 4,565.84

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Solution

The fourth proportional to 12,354.80, 18,541.94 and 4,565.84 is: 6,852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.80 : 18,541.94 = 4,565.84 : x
  2. Step 2: Convert to fraction form
    12,354.80/18,541.94 = 4,565.84/x
  3. Step 3: Cross multiply
    12,354.80x = 18,541.94 × 4,565.84
  4. Step 4: Simplify right side
    12,354.80x = 84,659,531.33
  5. Step 5: Solve for x
    x = 84,659,531.33/12,354.80
  6. Step 6: Final answer
    x = 6,852.36

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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.