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Finding the Fourth Proportional to 13,494.08, 18,624.24 and 7,832.40

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Solution

The fourth proportional to 13,494.08, 18,624.24 and 7,832.40 is: 10,810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.08 : 18,624.24 = 7,832.40 : x
  2. Step 2: Convert to fraction form
    13,494.08/18,624.24 = 7,832.40/x
  3. Step 3: Cross multiply
    13,494.08x = 18,624.24 × 7,832.40
  4. Step 4: Simplify right side
    13,494.08x = 145,872,497.38
  5. Step 5: Solve for x
    x = 145,872,497.38/13,494.08
  6. Step 6: Final answer
    x = 10,810.11

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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.