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Finding the Fourth Proportional to 16,369.40, 22,594.74 and 9,654.50

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Solution

The fourth proportional to 16,369.40, 22,594.74 and 9,654.50 is: 13,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,369.40 : 22,594.74 = 9,654.50 : x
  2. Step 2: Convert to fraction form
    16,369.40/22,594.74 = 9,654.50/x
  3. Step 3: Cross multiply
    16,369.40x = 22,594.74 × 9,654.50
  4. Step 4: Simplify right side
    16,369.40x = 218,140,917.33
  5. Step 5: Solve for x
    x = 218,140,917.33/16,369.40
  6. Step 6: Final answer
    x = 13,326.14

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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.