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Finding the Fourth Proportional to 27,692.34, 38,215.46 and 17,088.14

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Solution

The fourth proportional to 27,692.34, 38,215.46 and 17,088.14 is: 23,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.34 : 38,215.46 = 17,088.14 : x
  2. Step 2: Convert to fraction form
    27,692.34/38,215.46 = 17,088.14/x
  3. Step 3: Cross multiply
    27,692.34x = 38,215.46 × 17,088.14
  4. Step 4: Simplify right side
    27,692.34x = 653,030,854.13
  5. Step 5: Solve for x
    x = 653,030,854.13/27,692.34
  6. Step 6: Final answer
    x = 23,581.64

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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.