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Finding the Fourth Proportional to 14,270, 19,692.66 and 7,982.40

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Solution

The fourth proportional to 14,270, 19,692.66 and 7,982.40 is: 11,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,270 : 19,692.66 = 7,982.40 : x
  2. Step 2: Convert to fraction form
    14,270/19,692.66 = 7,982.40/x
  3. Step 3: Cross multiply
    14,270x = 19,692.66 × 7,982.40
  4. Step 4: Simplify right side
    14,270x = 157,194,689.18
  5. Step 5: Solve for x
    x = 157,194,689.18/14,270
  6. Step 6: Final answer
    x = 11,015.75

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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.