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Finding the Fourth Proportional to 14,549.68, 20,075.76 and 8,260.96

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Solution

The fourth proportional to 14,549.68, 20,075.76 and 8,260.96 is: 11,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.68 : 20,075.76 = 8,260.96 : x
  2. Step 2: Convert to fraction form
    14,549.68/20,075.76 = 8,260.96/x
  3. Step 3: Cross multiply
    14,549.68x = 20,075.76 × 8,260.96
  4. Step 4: Simplify right side
    14,549.68x = 165,845,050.33
  5. Step 5: Solve for x
    x = 165,845,050.33/14,549.68
  6. Step 6: Final answer
    x = 11,398.54

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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.