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Finding the Fourth Proportional to 29,834.47, 41,172.63 and 16,406.76

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Solution

The fourth proportional to 29,834.47, 41,172.63 and 16,406.76 is: 22,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834.47 : 41,172.63 = 16,406.76 : x
  2. Step 2: Convert to fraction form
    29,834.47/41,172.63 = 16,406.76/x
  3. Step 3: Cross multiply
    29,834.47x = 41,172.63 × 16,406.76
  4. Step 4: Simplify right side
    29,834.47x = 675,509,458.98
  5. Step 5: Solve for x
    x = 675,509,458.98/29,834.47
  6. Step 6: Final answer
    x = 22,641.92

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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.