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Finding the Fourth Proportional to 29,813.49, 41,140.62 and 16,384.46

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Solution

The fourth proportional to 29,813.49, 41,140.62 and 16,384.46 is: 22,609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,813.49 : 41,140.62 = 16,384.46 : x
  2. Step 2: Convert to fraction form
    29,813.49/41,140.62 = 16,384.46/x
  3. Step 3: Cross multiply
    29,813.49x = 41,140.62 × 16,384.46
  4. Step 4: Simplify right side
    29,813.49x = 674,066,637.06
  5. Step 5: Solve for x
    x = 674,066,637.06/29,813.49
  6. Step 6: Final answer
    x = 22,609.45

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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.