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Finding the Fourth Proportional to 16,477.55, 22,738.91 and 8,923.71

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Solution

The fourth proportional to 16,477.55, 22,738.91 and 8,923.71 is: 12,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.55 : 22,738.91 = 8,923.71 : x
  2. Step 2: Convert to fraction form
    16,477.55/22,738.91 = 8,923.71/x
  3. Step 3: Cross multiply
    16,477.55x = 22,738.91 × 8,923.71
  4. Step 4: Simplify right side
    16,477.55x = 202,915,393.94
  5. Step 5: Solve for x
    x = 202,915,393.94/16,477.55
  6. Step 6: Final answer
    x = 12,314.66

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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.