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Finding the Fourth Proportional to 29,992.36, 41,390.10 and 16,564.47

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Solution

The fourth proportional to 29,992.36, 41,390.10 and 16,564.47 is: 22,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,992.36 : 41,390.10 = 16,564.47 : x
  2. Step 2: Convert to fraction form
    29,992.36/41,390.10 = 16,564.47/x
  3. Step 3: Cross multiply
    29,992.36x = 41,390.10 × 16,564.47
  4. Step 4: Simplify right side
    29,992.36x = 685,605,069.75
  5. Step 5: Solve for x
    x = 685,605,069.75/29,992.36
  6. Step 6: Final answer
    x = 22,859.32

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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.