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Finding the Fourth Proportional to 14,254.76, 21,382.14 and 6,461.75

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Solution

The fourth proportional to 14,254.76, 21,382.14 and 6,461.75 is: 9,692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.76 : 21,382.14 = 6,461.75 : x
  2. Step 2: Convert to fraction form
    14,254.76/21,382.14 = 6,461.75/x
  3. Step 3: Cross multiply
    14,254.76x = 21,382.14 × 6,461.75
  4. Step 4: Simplify right side
    14,254.76x = 138,166,043.15
  5. Step 5: Solve for x
    x = 138,166,043.15/14,254.76
  6. Step 6: Final answer
    x = 9,692.63

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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.