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Finding the Fourth Proportional to 12,009.47, 18,017.01 and 4,112.07

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Solution

The fourth proportional to 12,009.47, 18,017.01 and 4,112.07 is: 6,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.47 : 18,017.01 = 4,112.07 : x
  2. Step 2: Convert to fraction form
    12,009.47/18,017.01 = 4,112.07/x
  3. Step 3: Cross multiply
    12,009.47x = 18,017.01 × 4,112.07
  4. Step 4: Simplify right side
    12,009.47x = 74,087,206.31
  5. Step 5: Solve for x
    x = 74,087,206.31/12,009.47
  6. Step 6: Final answer
    x = 6,169.07

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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.