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Finding the Fourth Proportional to 14,789.30, 20,408.84 and 8,075.12

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Solution

The fourth proportional to 14,789.30, 20,408.84 and 8,075.12 is: 11,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,789.30 : 20,408.84 = 8,075.12 : x
  2. Step 2: Convert to fraction form
    14,789.30/20,408.84 = 8,075.12/x
  3. Step 3: Cross multiply
    14,789.30x = 20,408.84 × 8,075.12
  4. Step 4: Simplify right side
    14,789.30x = 164,803,832.06
  5. Step 5: Solve for x
    x = 164,803,832.06/14,789.30
  6. Step 6: Final answer
    x = 11,143.45

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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.