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Finding the Fourth Proportional to 29,852.52, 41,197.61 and 16,423.46

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Solution

The fourth proportional to 29,852.52, 41,197.61 and 16,423.46 is: 22,665.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,852.52 : 41,197.61 = 16,423.46 : x
  2. Step 2: Convert to fraction form
    29,852.52/41,197.61 = 16,423.46/x
  3. Step 3: Cross multiply
    29,852.52x = 41,197.61 × 16,423.46
  4. Step 4: Simplify right side
    29,852.52x = 676,607,289.49
  5. Step 5: Solve for x
    x = 676,607,289.49/29,852.52
  6. Step 6: Final answer
    x = 22,665.00

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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.