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Finding the Fourth Proportional to 12,154.17, 18,204.81 and 5,901.02

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Solution

The fourth proportional to 12,154.17, 18,204.81 and 5,901.02 is: 8,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.17 : 18,204.81 = 5,901.02 : x
  2. Step 2: Convert to fraction form
    12,154.17/18,204.81 = 5,901.02/x
  3. Step 3: Cross multiply
    12,154.17x = 18,204.81 × 5,901.02
  4. Step 4: Simplify right side
    12,154.17x = 107,426,947.91
  5. Step 5: Solve for x
    x = 107,426,947.91/12,154.17
  6. Step 6: Final answer
    x = 8,838.69

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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.