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Finding the Fourth Proportional to 29,813.99, 41,141.31 and 16,384.95

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Solution

The fourth proportional to 29,813.99, 41,141.31 and 16,384.95 is: 22,610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,813.99 : 41,141.31 = 16,384.95 : x
  2. Step 2: Convert to fraction form
    29,813.99/41,141.31 = 16,384.95/x
  3. Step 3: Cross multiply
    29,813.99x = 41,141.31 × 16,384.95
  4. Step 4: Simplify right side
    29,813.99x = 674,098,307.28
  5. Step 5: Solve for x
    x = 674,098,307.28/29,813.99
  6. Step 6: Final answer
    x = 22,610.13

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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.