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Finding the Fourth Proportional to 13,158.52, 18,164.16 and 9,382.30

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Solution

The fourth proportional to 13,158.52, 18,164.16 and 9,382.30 is: 12,951.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158.52 : 18,164.16 = 9,382.30 : x
  2. Step 2: Convert to fraction form
    13,158.52/18,164.16 = 9,382.30/x
  3. Step 3: Cross multiply
    13,158.52x = 18,164.16 × 9,382.30
  4. Step 4: Simplify right side
    13,158.52x = 170,421,598.37
  5. Step 5: Solve for x
    x = 170,421,598.37/13,158.52
  6. Step 6: Final answer
    x = 12,951.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.