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Finding the Fourth Proportional to 16,564.10, 22,858.67 and 9,490.50

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Solution

The fourth proportional to 16,564.10, 22,858.67 and 9,490.50 is: 13,097.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.10 : 22,858.67 = 9,490.50 : x
  2. Step 2: Convert to fraction form
    16,564.10/22,858.67 = 9,490.50/x
  3. Step 3: Cross multiply
    16,564.10x = 22,858.67 × 9,490.50
  4. Step 4: Simplify right side
    16,564.10x = 216,940,231.36
  5. Step 5: Solve for x
    x = 216,940,231.36/16,564.10
  6. Step 6: Final answer
    x = 13,097.02

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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.