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Finding the Fourth Proportional to 20,215.40, 27,886.02 and 11,830.28

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Solution

The fourth proportional to 20,215.40, 27,886.02 and 11,830.28 is: 16,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,215.40 : 27,886.02 = 11,830.28 : x
  2. Step 2: Convert to fraction form
    20,215.40/27,886.02 = 11,830.28/x
  3. Step 3: Cross multiply
    20,215.40x = 27,886.02 × 11,830.28
  4. Step 4: Simplify right side
    20,215.40x = 329,899,424.69
  5. Step 5: Solve for x
    x = 329,899,424.69/20,215.40
  6. Step 6: Final answer
    x = 16,319.21

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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.