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Finding the Fourth Proportional to 14,054.94, 21,075.12 and 5,730.30

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Solution

The fourth proportional to 14,054.94, 21,075.12 and 5,730.30 is: 8,592.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,054.94 : 21,075.12 = 5,730.30 : x
  2. Step 2: Convert to fraction form
    14,054.94/21,075.12 = 5,730.30/x
  3. Step 3: Cross multiply
    14,054.94x = 21,075.12 × 5,730.30
  4. Step 4: Simplify right side
    14,054.94x = 120,766,760.14
  5. Step 5: Solve for x
    x = 120,766,760.14/14,054.94
  6. Step 6: Final answer
    x = 8,592.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.