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Finding the Fourth Proportional to 14,270.21, 19,692.49 and 7,897.07

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Solution

The fourth proportional to 14,270.21, 19,692.49 and 7,897.07 is: 10,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,270.21 : 19,692.49 = 7,897.07 : x
  2. Step 2: Convert to fraction form
    14,270.21/19,692.49 = 7,897.07/x
  3. Step 3: Cross multiply
    14,270.21x = 19,692.49 × 7,897.07
  4. Step 4: Simplify right side
    14,270.21x = 155,512,983.13
  5. Step 5: Solve for x
    x = 155,512,983.13/14,270.21
  6. Step 6: Final answer
    x = 10,897.73

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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.