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Finding the Fourth Proportional to 16,224.83, 22,392.41 and 9,513.10

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Solution

The fourth proportional to 16,224.83, 22,392.41 and 9,513.10 is: 13,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.83 : 22,392.41 = 9,513.10 : x
  2. Step 2: Convert to fraction form
    16,224.83/22,392.41 = 9,513.10/x
  3. Step 3: Cross multiply
    16,224.83x = 22,392.41 × 9,513.10
  4. Step 4: Simplify right side
    16,224.83x = 213,021,235.57
  5. Step 5: Solve for x
    x = 213,021,235.57/16,224.83
  6. Step 6: Final answer
    x = 13,129.34

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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.