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Finding the Fourth Proportional to 14,789.94, 20,410 and 8,075.47

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Solution

The fourth proportional to 14,789.94, 20,410 and 8,075.47 is: 11,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,789.94 : 20,410 = 8,075.47 : x
  2. Step 2: Convert to fraction form
    14,789.94/20,410 = 8,075.47/x
  3. Step 3: Cross multiply
    14,789.94x = 20,410 × 8,075.47
  4. Step 4: Simplify right side
    14,789.94x = 164,820,342.70
  5. Step 5: Solve for x
    x = 164,820,342.70/14,789.94
  6. Step 6: Final answer
    x = 11,144.08

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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.