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Finding the Fourth Proportional to 14,364.74, 19,821.17 and 8,075.90

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Solution

The fourth proportional to 14,364.74, 19,821.17 and 8,075.90 is: 11,143.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364.74 : 19,821.17 = 8,075.90 : x
  2. Step 2: Convert to fraction form
    14,364.74/19,821.17 = 8,075.90/x
  3. Step 3: Cross multiply
    14,364.74x = 19,821.17 × 8,075.90
  4. Step 4: Simplify right side
    14,364.74x = 160,073,856.55
  5. Step 5: Solve for x
    x = 160,073,856.55/14,364.74
  6. Step 6: Final answer
    x = 11,143.52

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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.