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Finding the Fourth Proportional to 29,513.97, 40,729.59 and 16,085.16

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Solution

The fourth proportional to 29,513.97, 40,729.59 and 16,085.16 is: 22,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,513.97 : 40,729.59 = 16,085.16 : x
  2. Step 2: Convert to fraction form
    29,513.97/40,729.59 = 16,085.16/x
  3. Step 3: Cross multiply
    29,513.97x = 40,729.59 × 16,085.16
  4. Step 4: Simplify right side
    29,513.97x = 655,141,971.88
  5. Step 5: Solve for x
    x = 655,141,971.88/29,513.97
  6. Step 6: Final answer
    x = 22,197.69

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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.