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Finding the Fourth Proportional to 13,423.12, 18,524.24 and 7,454.50

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Solution

The fourth proportional to 13,423.12, 18,524.24 and 7,454.50 is: 10,287.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.12 : 18,524.24 = 7,454.50 : x
  2. Step 2: Convert to fraction form
    13,423.12/18,524.24 = 7,454.50/x
  3. Step 3: Cross multiply
    13,423.12x = 18,524.24 × 7,454.50
  4. Step 4: Simplify right side
    13,423.12x = 138,088,947.08
  5. Step 5: Solve for x
    x = 138,088,947.08/13,423.12
  6. Step 6: Final answer
    x = 10,287.40

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