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Finding the Fourth Proportional to 12,083.65, 18,122.54 and 9,444.62

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Solution

The fourth proportional to 12,083.65, 18,122.54 and 9,444.62 is: 14,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.65 : 18,122.54 = 9,444.62 : x
  2. Step 2: Convert to fraction form
    12,083.65/18,122.54 = 9,444.62/x
  3. Step 3: Cross multiply
    12,083.65x = 18,122.54 × 9,444.62
  4. Step 4: Simplify right side
    12,083.65x = 171,160,501.82
  5. Step 5: Solve for x
    x = 171,160,501.82/12,083.65
  6. Step 6: Final answer
    x = 14,164.64

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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.