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Finding the Fourth Proportional to 29,823.80, 41,156.10 and 16,394.00

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Solution

The fourth proportional to 29,823.80, 41,156.10 and 16,394.00 is: 22,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,823.80 : 41,156.10 = 16,394.00 : x
  2. Step 2: Convert to fraction form
    29,823.80/41,156.10 = 16,394.00/x
  3. Step 3: Cross multiply
    29,823.80x = 41,156.10 × 16,394.00
  4. Step 4: Simplify right side
    29,823.80x = 674,712,897.62
  5. Step 5: Solve for x
    x = 674,712,897.62/29,823.80
  6. Step 6: Final answer
    x = 22,623.31

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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.