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Finding the Fourth Proportional to 16,827.53, 23,223.09 and 9,659.77

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Solution

The fourth proportional to 16,827.53, 23,223.09 and 9,659.77 is: 13,331.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,827.53 : 23,223.09 = 9,659.77 : x
  2. Step 2: Convert to fraction form
    16,827.53/23,223.09 = 9,659.77/x
  3. Step 3: Cross multiply
    16,827.53x = 23,223.09 × 9,659.77
  4. Step 4: Simplify right side
    16,827.53x = 224,329,711.69
  5. Step 5: Solve for x
    x = 224,329,711.69/16,827.53
  6. Step 6: Final answer
    x = 13,331.11

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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.