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Finding the Fourth Proportional to 27,431.44, 37,853.58 and 15,496

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Solution

The fourth proportional to 27,431.44, 37,853.58 and 15,496 is: 21,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.44 : 37,853.58 = 15,496 : x
  2. Step 2: Convert to fraction form
    27,431.44/37,853.58 = 15,496/x
  3. Step 3: Cross multiply
    27,431.44x = 37,853.58 × 15,496
  4. Step 4: Simplify right side
    27,431.44x = 586,579,075.68
  5. Step 5: Solve for x
    x = 586,579,075.68/27,431.44
  6. Step 6: Final answer
    x = 21,383.46

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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.