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Finding the Fourth Proportional to 16,549, 22,837.62 and 10,960

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Solution

The fourth proportional to 16,549, 22,837.62 and 10,960 is: 15,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549 : 22,837.62 = 10,960 : x
  2. Step 2: Convert to fraction form
    16,549/22,837.62 = 10,960/x
  3. Step 3: Cross multiply
    16,549x = 22,837.62 × 10,960
  4. Step 4: Simplify right side
    16,549x = 250,300,315.20
  5. Step 5: Solve for x
    x = 250,300,315.20/16,549
  6. Step 6: Final answer
    x = 15,124.80

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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.