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Finding the Fourth Proportional to 29,971.63, 41,360.97 and 16,543

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Solution

The fourth proportional to 29,971.63, 41,360.97 and 16,543 is: 22,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.63 : 41,360.97 = 16,543 : x
  2. Step 2: Convert to fraction form
    29,971.63/41,360.97 = 16,543/x
  3. Step 3: Cross multiply
    29,971.63x = 41,360.97 × 16,543
  4. Step 4: Simplify right side
    29,971.63x = 684,234,526.71
  5. Step 5: Solve for x
    x = 684,234,526.71/29,971.63
  6. Step 6: Final answer
    x = 22,829.41

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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.