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Finding the Fourth Proportional to 27,896.64, 38,484.36 and 17,282.40

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Solution

The fourth proportional to 27,896.64, 38,484.36 and 17,282.40 is: 23,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,896.64 : 38,484.36 = 17,282.40 : x
  2. Step 2: Convert to fraction form
    27,896.64/38,484.36 = 17,282.40/x
  3. Step 3: Cross multiply
    27,896.64x = 38,484.36 × 17,282.40
  4. Step 4: Simplify right side
    27,896.64x = 665,102,103.26
  5. Step 5: Solve for x
    x = 665,102,103.26/27,896.64
  6. Step 6: Final answer
    x = 23,841.66

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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.