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Finding the Fourth Proportional to 15,646, 21,588.12 and 9,274.58

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Solution

The fourth proportional to 15,646, 21,588.12 and 9,274.58 is: 12,796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646 : 21,588.12 = 9,274.58 : x
  2. Step 2: Convert to fraction form
    15,646/21,588.12 = 9,274.58/x
  3. Step 3: Cross multiply
    15,646x = 21,588.12 × 9,274.58
  4. Step 4: Simplify right side
    15,646x = 200,220,745.99
  5. Step 5: Solve for x
    x = 200,220,745.99/15,646
  6. Step 6: Final answer
    x = 12,796.93

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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.