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Finding the Fourth Proportional to 16,580.23, 22,873.94 and 10,204.90

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Solution

The fourth proportional to 16,580.23, 22,873.94 and 10,204.90 is: 14,078.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.23 : 22,873.94 = 10,204.90 : x
  2. Step 2: Convert to fraction form
    16,580.23/22,873.94 = 10,204.90/x
  3. Step 3: Cross multiply
    16,580.23x = 22,873.94 × 10,204.90
  4. Step 4: Simplify right side
    16,580.23x = 233,426,270.31
  5. Step 5: Solve for x
    x = 233,426,270.31/16,580.23
  6. Step 6: Final answer
    x = 14,078.59

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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.