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Finding the Fourth Proportional to 29,578.24, 40,813.16 and 17,477.04

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Solution

The fourth proportional to 29,578.24, 40,813.16 and 17,477.04 is: 24,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,578.24 : 40,813.16 = 17,477.04 : x
  2. Step 2: Convert to fraction form
    29,578.24/40,813.16 = 17,477.04/x
  3. Step 3: Cross multiply
    29,578.24x = 40,813.16 × 17,477.04
  4. Step 4: Simplify right side
    29,578.24x = 713,292,938.40
  5. Step 5: Solve for x
    x = 713,292,938.40/29,578.24
  6. Step 6: Final answer
    x = 24,115.46

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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.