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Finding the Fourth Proportional to 16,829.91, 23,225.14 and 9,173.16

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Solution

The fourth proportional to 16,829.91, 23,225.14 and 9,173.16 is: 12,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,829.91 : 23,225.14 = 9,173.16 : x
  2. Step 2: Convert to fraction form
    16,829.91/23,225.14 = 9,173.16/x
  3. Step 3: Cross multiply
    16,829.91x = 23,225.14 × 9,173.16
  4. Step 4: Simplify right side
    16,829.91x = 213,047,902.31
  5. Step 5: Solve for x
    x = 213,047,902.31/16,829.91
  6. Step 6: Final answer
    x = 12,658.89

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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.