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Finding the Fourth Proportional to 16,224.96, 22,399.36 and 10,564.64

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Solution

The fourth proportional to 16,224.96, 22,399.36 and 10,564.64 is: 14,585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.96 : 22,399.36 = 10,564.64 : x
  2. Step 2: Convert to fraction form
    16,224.96/22,399.36 = 10,564.64/x
  3. Step 3: Cross multiply
    16,224.96x = 22,399.36 × 10,564.64
  4. Step 4: Simplify right side
    16,224.96x = 236,641,174.63
  5. Step 5: Solve for x
    x = 236,641,174.63/16,224.96
  6. Step 6: Final answer
    x = 14,585.01

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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.