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Finding the Fourth Proportional to 16,591.23, 22,894.23 and 10,216.80

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Solution

The fourth proportional to 16,591.23, 22,894.23 and 10,216.80 is: 14,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.23 : 22,894.23 = 10,216.80 : x
  2. Step 2: Convert to fraction form
    16,591.23/22,894.23 = 10,216.80/x
  3. Step 3: Cross multiply
    16,591.23x = 22,894.23 × 10,216.80
  4. Step 4: Simplify right side
    16,591.23x = 233,905,769.06
  5. Step 5: Solve for x
    x = 233,905,769.06/16,591.23
  6. Step 6: Final answer
    x = 14,098.16

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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.