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Finding the Fourth Proportional to 16,384.72, 22,611.28 and 9,671.98

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Solution

The fourth proportional to 16,384.72, 22,611.28 and 9,671.98 is: 13,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.72 : 22,611.28 = 9,671.98 : x
  2. Step 2: Convert to fraction form
    16,384.72/22,611.28 = 9,671.98/x
  3. Step 3: Cross multiply
    16,384.72x = 22,611.28 × 9,671.98
  4. Step 4: Simplify right side
    16,384.72x = 218,695,847.93
  5. Step 5: Solve for x
    x = 218,695,847.93/16,384.72
  6. Step 6: Final answer
    x = 13,347.55

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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.