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Finding the Fourth Proportional to 16,549.74, 22,836.78 and 9,477.54

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Solution

The fourth proportional to 16,549.74, 22,836.78 and 9,477.54 is: 13,077.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.74 : 22,836.78 = 9,477.54 : x
  2. Step 2: Convert to fraction form
    16,549.74/22,836.78 = 9,477.54/x
  3. Step 3: Cross multiply
    16,549.74x = 22,836.78 × 9,477.54
  4. Step 4: Simplify right side
    16,549.74x = 216,436,495.92
  5. Step 5: Solve for x
    x = 216,436,495.92/16,549.74
  6. Step 6: Final answer
    x = 13,077.94

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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.