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Finding the Fourth Proportional to 14,364.57, 19,820.94 and 8,075.73

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Solution

The fourth proportional to 14,364.57, 19,820.94 and 8,075.73 is: 11,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364.57 : 19,820.94 = 8,075.73 : x
  2. Step 2: Convert to fraction form
    14,364.57/19,820.94 = 8,075.73/x
  3. Step 3: Cross multiply
    14,364.57x = 19,820.94 × 8,075.73
  4. Step 4: Simplify right side
    14,364.57x = 160,068,559.79
  5. Step 5: Solve for x
    x = 160,068,559.79/14,364.57
  6. Step 6: Final answer
    x = 11,143.29

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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.