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Finding the Fourth Proportional to 29,767.36, 41,076 and 17,196.16

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Solution

The fourth proportional to 29,767.36, 41,076 and 17,196.16 is: 23,728.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,767.36 : 41,076 = 17,196.16 : x
  2. Step 2: Convert to fraction form
    29,767.36/41,076 = 17,196.16/x
  3. Step 3: Cross multiply
    29,767.36x = 41,076 × 17,196.16
  4. Step 4: Simplify right side
    29,767.36x = 706,349,468.16
  5. Step 5: Solve for x
    x = 706,349,468.16/29,767.36
  6. Step 6: Final answer
    x = 23,728.99

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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.