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Finding the Fourth Proportional to 29,570.54, 40,807.44 and 16,142.09

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Solution

The fourth proportional to 29,570.54, 40,807.44 and 16,142.09 is: 22,276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,570.54 : 40,807.44 = 16,142.09 : x
  2. Step 2: Convert to fraction form
    29,570.54/40,807.44 = 16,142.09/x
  3. Step 3: Cross multiply
    29,570.54x = 40,807.44 × 16,142.09
  4. Step 4: Simplify right side
    29,570.54x = 658,717,165.11
  5. Step 5: Solve for x
    x = 658,717,165.11/29,570.54
  6. Step 6: Final answer
    x = 22,276.13

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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.