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Finding the Fourth Proportional to 16,584.36, 22,888.08 and 9,513

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Solution

The fourth proportional to 16,584.36, 22,888.08 and 9,513 is: 13,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.36 : 22,888.08 = 9,513 : x
  2. Step 2: Convert to fraction form
    16,584.36/22,888.08 = 9,513/x
  3. Step 3: Cross multiply
    16,584.36x = 22,888.08 × 9,513
  4. Step 4: Simplify right side
    16,584.36x = 217,734,305.04
  5. Step 5: Solve for x
    x = 217,734,305.04/16,584.36
  6. Step 6: Final answer
    x = 13,128.89

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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.