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Finding the Fourth Proportional to 22,506.64, 31,057.37 and 13,075.82

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Solution

The fourth proportional to 22,506.64, 31,057.37 and 13,075.82 is: 18,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506.64 : 31,057.37 = 13,075.82 : x
  2. Step 2: Convert to fraction form
    22,506.64/31,057.37 = 13,075.82/x
  3. Step 3: Cross multiply
    22,506.64x = 31,057.37 × 13,075.82
  4. Step 4: Simplify right side
    22,506.64x = 406,100,579.79
  5. Step 5: Solve for x
    x = 406,100,579.79/22,506.64
  6. Step 6: Final answer
    x = 18,043.59

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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.