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Finding the Fourth Proportional to 16,465.55, 22,722.48 and 9,297

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Solution

The fourth proportional to 16,465.55, 22,722.48 and 9,297 is: 12,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.55 : 22,722.48 = 9,297 : x
  2. Step 2: Convert to fraction form
    16,465.55/22,722.48 = 9,297/x
  3. Step 3: Cross multiply
    16,465.55x = 22,722.48 × 9,297
  4. Step 4: Simplify right side
    16,465.55x = 211,250,896.56
  5. Step 5: Solve for x
    x = 211,250,896.56/16,465.55
  6. Step 6: Final answer
    x = 12,829.88

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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.