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Finding the Fourth Proportional to 29,896.61, 41,255.64 and 16,465.32

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Solution

The fourth proportional to 29,896.61, 41,255.64 and 16,465.32 is: 22,721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,896.61 : 41,255.64 = 16,465.32 : x
  2. Step 2: Convert to fraction form
    29,896.61/41,255.64 = 16,465.32/x
  3. Step 3: Cross multiply
    29,896.61x = 41,255.64 × 16,465.32
  4. Step 4: Simplify right side
    29,896.61x = 679,287,314.40
  5. Step 5: Solve for x
    x = 679,287,314.40/29,896.61
  6. Step 6: Final answer
    x = 22,721.22

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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.