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Finding the Fourth Proportional to 16,563.78, 22,858.00 and 9,490.23

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Solution

The fourth proportional to 16,563.78, 22,858.00 and 9,490.23 is: 13,096.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.78 : 22,858.00 = 9,490.23 : x
  2. Step 2: Convert to fraction form
    16,563.78/22,858.00 = 9,490.23/x
  3. Step 3: Cross multiply
    16,563.78x = 22,858.00 × 9,490.23
  4. Step 4: Simplify right side
    16,563.78x = 216,927,653.61
  5. Step 5: Solve for x
    x = 216,927,653.61/16,563.78
  6. Step 6: Final answer
    x = 13,096.51

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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.