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Finding the Fourth Proportional to 12,305.67, 18,432.32 and 6,444.51

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Solution

The fourth proportional to 12,305.67, 18,432.32 and 6,444.51 is: 9,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.67 : 18,432.32 = 6,444.51 : x
  2. Step 2: Convert to fraction form
    12,305.67/18,432.32 = 6,444.51/x
  3. Step 3: Cross multiply
    12,305.67x = 18,432.32 × 6,444.51
  4. Step 4: Simplify right side
    12,305.67x = 118,787,238.34
  5. Step 5: Solve for x
    x = 118,787,238.34/12,305.67
  6. Step 6: Final answer
    x = 9,653.05

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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.