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Finding the Fourth Proportional to 23,616.56, 32,590.66 and 13,005.97

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Solution

The fourth proportional to 23,616.56, 32,590.66 and 13,005.97 is: 17,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.56 : 32,590.66 = 13,005.97 : x
  2. Step 2: Convert to fraction form
    23,616.56/32,590.66 = 13,005.97/x
  3. Step 3: Cross multiply
    23,616.56x = 32,590.66 × 13,005.97
  4. Step 4: Simplify right side
    23,616.56x = 423,873,072.99
  5. Step 5: Solve for x
    x = 423,873,072.99/23,616.56
  6. Step 6: Final answer
    x = 17,948.13

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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.