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Finding the Fourth Proportional to 15,537.36, 21,440.90 and 8,463.84

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Solution

The fourth proportional to 15,537.36, 21,440.90 and 8,463.84 is: 11,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,537.36 : 21,440.90 = 8,463.84 : x
  2. Step 2: Convert to fraction form
    15,537.36/21,440.90 = 8,463.84/x
  3. Step 3: Cross multiply
    15,537.36x = 21,440.90 × 8,463.84
  4. Step 4: Simplify right side
    15,537.36x = 181,472,347.06
  5. Step 5: Solve for x
    x = 181,472,347.06/15,537.36
  6. Step 6: Final answer
    x = 11,679.74

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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.