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Finding the Fourth Proportional to 27,174.40, 40,762.56 and 8,704

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Solution

The fourth proportional to 27,174.40, 40,762.56 and 8,704 is: 13,056.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,174.40 : 40,762.56 = 8,704 : x
  2. Step 2: Convert to fraction form
    27,174.40/40,762.56 = 8,704/x
  3. Step 3: Cross multiply
    27,174.40x = 40,762.56 × 8,704
  4. Step 4: Simplify right side
    27,174.40x = 354,797,322.24
  5. Step 5: Solve for x
    x = 354,797,322.24/27,174.40
  6. Step 6: Final answer
    x = 13,056.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.