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Finding the Fourth Proportional to 14,281, 19,708.50 and 8,692.36

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Solution

The fourth proportional to 14,281, 19,708.50 and 8,692.36 is: 11,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281 : 19,708.50 = 8,692.36 : x
  2. Step 2: Convert to fraction form
    14,281/19,708.50 = 8,692.36/x
  3. Step 3: Cross multiply
    14,281x = 19,708.50 × 8,692.36
  4. Step 4: Simplify right side
    14,281x = 171,313,377.06
  5. Step 5: Solve for x
    x = 171,313,377.06/14,281
  6. Step 6: Final answer
    x = 11,995.90

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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.