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Finding the Fourth Proportional to 12,000.74, 18,009.61 and 4,210.16

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Solution

The fourth proportional to 12,000.74, 18,009.61 and 4,210.16 is: 6,318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.74 : 18,009.61 = 4,210.16 : x
  2. Step 2: Convert to fraction form
    12,000.74/18,009.61 = 4,210.16/x
  3. Step 3: Cross multiply
    12,000.74x = 18,009.61 × 4,210.16
  4. Step 4: Simplify right side
    12,000.74x = 75,823,239.06
  5. Step 5: Solve for x
    x = 75,823,239.06/12,000.74
  6. Step 6: Final answer
    x = 6,318.22

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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.