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Finding the Fourth Proportional to 29,840.02, 41,178.06 and 16,411.06

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Solution

The fourth proportional to 29,840.02, 41,178.06 and 16,411.06 is: 22,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,840.02 : 41,178.06 = 16,411.06 : x
  2. Step 2: Convert to fraction form
    29,840.02/41,178.06 = 16,411.06/x
  3. Step 3: Cross multiply
    29,840.02x = 41,178.06 × 16,411.06
  4. Step 4: Simplify right side
    29,840.02x = 675,775,613.34
  5. Step 5: Solve for x
    x = 675,775,613.34/29,840.02
  6. Step 6: Final answer
    x = 22,646.62

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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.