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Finding the Fourth Proportional to 22,075.76, 30,464.69 and 12,004.31

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Solution

The fourth proportional to 22,075.76, 30,464.69 and 12,004.31 is: 16,566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,075.76 : 30,464.69 = 12,004.31 : x
  2. Step 2: Convert to fraction form
    22,075.76/30,464.69 = 12,004.31/x
  3. Step 3: Cross multiply
    22,075.76x = 30,464.69 × 12,004.31
  4. Step 4: Simplify right side
    22,075.76x = 365,707,370.47
  5. Step 5: Solve for x
    x = 365,707,370.47/22,075.76
  6. Step 6: Final answer
    x = 16,566.02

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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.