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Finding the Fourth Proportional to 14,003.71, 21,005.82 and 4,142.98

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Solution

The fourth proportional to 14,003.71, 21,005.82 and 4,142.98 is: 6,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,003.71 : 21,005.82 = 4,142.98 : x
  2. Step 2: Convert to fraction form
    14,003.71/21,005.82 = 4,142.98/x
  3. Step 3: Cross multiply
    14,003.71x = 21,005.82 × 4,142.98
  4. Step 4: Simplify right side
    14,003.71x = 87,026,692.14
  5. Step 5: Solve for x
    x = 87,026,692.14/14,003.71
  6. Step 6: Final answer
    x = 6,214.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.