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Finding the Fourth Proportional to 27,114.64, 37,406.88 and 17,682.88

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Solution

The fourth proportional to 27,114.64, 37,406.88 and 17,682.88 is: 24,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114.64 : 37,406.88 = 17,682.88 : x
  2. Step 2: Convert to fraction form
    27,114.64/37,406.88 = 17,682.88/x
  3. Step 3: Cross multiply
    27,114.64x = 37,406.88 × 17,682.88
  4. Step 4: Simplify right side
    27,114.64x = 661,461,370.21
  5. Step 5: Solve for x
    x = 661,461,370.21/27,114.64
  6. Step 6: Final answer
    x = 24,394.99

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1.5x scale

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.